For reference, here are earlier posts with my Othello variants:
Othello Quiz 2015, Problem 1 Variants
Othello Quiz 2015, Problem 2 Variants
Othello Quiz 2015, Problem 3 Variants
There are six positions diagrammed below. If you widen your window enough, you will see the diagrams sidebysidebyside, in a 3x2 matrix.
Position 1 is the "original," Othello's Problem #4. (The margins in Othello's own rollout are similar: .097, .121, .185, .203 and .235.)
The other five positions are variants for which a single alternation has been made from the original: One checker (sometimes two or three) has been moved from one point to another.
The metaresult is six different best plays. Each position is a worthwhile study in its own right (the most interesting of which may be #6).
Nack
1.  Rollout^{1}  Bar/24 8/7 8/6  eq: 0.517 
 Player: Opponent:  36.69% (G:6.86% B:0.24%) 63.31% (G:19.40% B:0.33%)  Conf.: กำ 0.014 (0.531...0.503)  [100.0%] Duration: 16 minutes 35 seconds 

2.  Rollout^{1}  Bar/24 4/1*  eq: 0.620 (0.103) 
 Player: Opponent:  36.97% (G:7.84% B:0.27%) 63.03% (G:26.25% B:0.86%)  Conf.: กำ 0.016 (0.636...0.604)  [0.0%] Duration: 19 minutes 13 seconds 

3.  Rollout^{1}  Bar/24 6/5(3)  eq: 0.632 (0.115) 
 Player: Opponent:  35.69% (G:7.77% B:0.38%) 64.31% (G:23.26% B:0.51%)  Conf.: กำ 0.015 (0.647...0.616)  [0.0%] Duration: 17 minutes 04 seconds 

4.  Rollout^{1}  Bar/24 4/3(3)  eq: 0.708 (0.192) 
 Player: Opponent:  34.68% (G:6.30% B:0.21%) 65.32% (G:23.91% B:0.49%)  Conf.: กำ 0.014 (0.722...0.695)  [0.0%] Duration: 17 minutes 44 seconds 

5.  Rollout^{1}  Bar/24 7/6 2/1*(2)  eq: 0.717 (0.201) 
 Player: Opponent:  34.52% (G:7.29% B:0.19%) 65.48% (G:24.92% B:0.63%)  Conf.: กำ 0.015 (0.732...0.703)  [0.0%] Duration: 15 minutes 19 seconds 

6.  Rollout^{1}  Bar/24 4/3 2/1*(2)  eq: 0.739 (0.223) 
 Player: Opponent:  35.54% (G:7.39% B:0.22%) 64.46% (G:28.97% B:0.68%)  Conf.: กำ 0.016 (0.755...0.723)  [0.0%] Duration: 17 minutes 32 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 31961703 Moves: 3ply, cube decisions: XG Roller

1.  Rollout^{1}  Bar/24 7/6 2/1*(2)  eq: 0.315 
 Player: Opponent:  40.52% (G:12.47% B:0.27%) 59.48% (G:21.10% B:0.79%)  Conf.: กำ 0.010 (0.325...0.305)  [100.0%] Duration: 13 minutes 59 seconds 

2.  Rollout^{1}  Bar/24 4/1*  eq: 0.398 (0.083) 
 Player: Opponent:  39.84% (G:13.72% B:0.46%) 60.16% (G:27.34% B:1.15%)  Conf.: กำ 0.016 (0.413...0.382)  [0.0%] Duration: 13 minutes 32 seconds 

3.  Rollout^{1}  Bar/24 8/7 8/6  eq: 0.428 (0.113) 
 Player: Opponent:  39.32% (G:9.05% B:0.32%) 60.68% (G:18.51% B:0.43%)  Conf.: กำ 0.011 (0.438...0.417)  [0.0%] Duration: 14 minutes 42 seconds 

4.  Rollout^{1}  Bar/24 8/7 2/1*(2)  eq: 0.430 (0.115) 
 Player: Opponent:  38.63% (G:11.38% B:0.29%) 61.37% (G:23.43% B:0.68%)  Conf.: กำ 0.016 (0.446...0.414)  [0.0%] Duration: 12 minutes 24 seconds 

5.  Rollout^{1}  Bar/24 18/17(2) 8/7  eq: 0.450 (0.135) 
 Player: Opponent:  39.67% (G:12.12% B:0.63%) 60.33% (G:27.79% B:0.82%)  Conf.: กำ 0.020 (0.470...0.431)  [0.0%] Duration: 13 minutes 32 seconds 

6.  Rollout^{1}  Bar/24 18/17 2/1*(2)  eq: 0.479 (0.164) 
 Player: Opponent:  39.23% (G:15.62% B:0.49%) 60.77% (G:30.97% B:2.17%)  Conf.: กำ 0.015 (0.493...0.464)  [0.0%] Duration: 11 minutes 51 seconds 

7.  Rollout^{1}  Bar/24 4/3 2/1*(2)  eq: 0.480 (0.165) 
 Player: Opponent:  39.05% (G:13.75% B:0.42%) 60.95% (G:29.28% B:1.09%)  Conf.: กำ 0.016 (0.496...0.465)  [0.0%] Duration: 12 minutes 56 seconds 


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

1.  Rollout^{1}  Bar/24 4/1*  eq: 0.260 
 Player: Opponent:  43.40% (G:15.01% B:0.47%) 56.60% (G:23.19% B:0.91%)  Conf.: กำ 0.006 (0.266...0.254)  [100.0%] Duration: 1 hour 19 minutes 

2.  Rollout^{1}  Bar/24 7/6 2/1*(2)  eq: 0.289 (0.029) 
 Player: Opponent:  41.11% (G:14.07% B:0.37%) 58.89% (G:21.90% B:0.71%)  Conf.: กำ 0.005 (0.294...0.284)  [0.0%] Duration: 1 hour 13 minutes 

3.  Rollout^{2}  Bar/24 18/17(2) 8/7  eq: 0.326 (0.066) 
 Player: Opponent:  41.94% (G:12.65% B:0.70%) 58.06% (G:24.59% B:0.64%)  Conf.: กำ 0.010 (0.336...0.316)  [0.0%] Duration: 17 minutes 55 seconds 

4.  Rollout^{2}  Bar/24 8/7 8/6  eq: 0.329 (0.069) 
 Player: Opponent:  41.32% (G:10.25% B:0.40%) 58.68% (G:16.86% B:0.38%)  Conf.: กำ 0.012 (0.341...0.317)  [0.0%] Duration: 28 minutes 08 seconds 

5.  Rollout^{2}  Bar/24 4/3 2/1*(2)  eq: 0.331 (0.071) 
 Player: Opponent:  41.87% (G:14.30% B:0.39%) 58.13% (G:24.93% B:1.02%)  Conf.: กำ 0.011 (0.342...0.321)  [0.0%] Duration: 19 minutes 10 seconds 

6.  Rollout^{2}  Bar/24 7/5 6/5  eq: 0.340 (0.080) 
 Player: Opponent:  43.51% (G:14.32% B:0.67%) 56.49% (G:27.99% B:0.76%)  Conf.: กำ 0.010 (0.350...0.330)  [0.0%] Duration: 17 minutes 20 seconds 

7.  Rollout^{2}  Bar/24 8/7 2/1*(2)  eq: 0.351 (0.091) 
 Player: Opponent:  39.56% (G:12.71% B:0.34%) 60.44% (G:22.25% B:0.69%)  Conf.: กำ 0.010 (0.361...0.342)  [0.0%] Duration: 19 minutes 19 seconds 


^{1} 5184 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

1.  Rollout^{1}  Bar/24 6/5(3)  eq: 0.490 
 Player: Opponent:  37.65% (G:8.11% B:0.36%) 62.35% (G:21.43% B:0.51%)  Conf.: กำ 0.014 (0.504...0.476)  [100.0%] Duration: 22 minutes 29 seconds 

2.  Rollout^{1}  Bar/24 8/7 8/6  eq: 0.576 (0.086) 
 Player: Opponent:  35.64% (G:6.64% B:0.19%) 64.36% (G:19.50% B:0.32%)  Conf.: กำ 0.013 (0.589...0.564)  [0.0%] Duration: 21 minutes 56 seconds 

3.  Rollout^{1}  Bar/24 4/3 2/1*(2)  eq: 0.596 (0.106) 
 Player: Opponent:  37.57% (G:7.80% B:0.26%) 62.43% (G:26.85% B:0.60%)  Conf.: กำ 0.015 (0.611...0.580)  [0.0%] Duration: 24 minutes 49 seconds 

4.  Rollout^{1}  Bar/24 4/1*  eq: 0.633 (0.143) 
 Player: Opponent:  36.73% (G:7.37% B:0.24%) 63.27% (G:26.08% B:0.78%)  Conf.: กำ 0.017 (0.650...0.617)  [0.0%] Duration: 26 minutes 00 second 

5.  Rollout^{1}  Bar/24 7/6 2/1*(2)  eq: 0.671 (0.181) 
 Player: Opponent:  35.03% (G:7.28% B:0.20%) 64.97% (G:23.46% B:0.57%)  Conf.: กำ 0.013 (0.684...0.659)  [0.0%] Duration: 18 minutes 27 seconds 

6.  Rollout^{1}  Bar/24 4/3(3)  eq: 0.679 (0.189) 
 Player: Opponent:  34.58% (G:6.76% B:0.24%) 65.42% (G:22.60% B:0.46%)  Conf.: กำ 0.014 (0.693...0.665)  [0.0%] Duration: 24 minutes 21 seconds 

7.  Rollout^{1}  Bar/24 8/7 2/1*(2)  eq: 0.692 (0.202) 
 Player: Opponent:  34.77% (G:7.21% B:0.20%) 65.23% (G:23.97% B:0.54%)  Conf.: กำ 0.015 (0.707...0.677)  [0.0%] Duration: 21 minutes 39 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 54270926 Moves: 3ply, cube decisions: XG Roller

1.  Rollout^{1}  Bar/24 18/17(2) 4/3  eq: 0.248 
 Player: Opponent:  44.82% (G:10.84% B:0.63%) 55.18% (G:26.05% B:0.45%)  Conf.: กำ 0.004 (0.252...0.244)  [95.3%] Duration: 2 hours 14 minutes 

2.  Rollout^{1}  Bar/24 8/7 8/6  eq: 0.253 (0.005) 
 Player: Opponent:  42.86% (G:8.18% B:0.36%) 57.14% (G:14.14% B:0.18%)  Conf.: กำ 0.004 (0.257...0.249)  [4.7%] Duration: 2 hours 27 minutes 

3.  Rollout^{2}  Bar/24 18/17(2) 8/7  eq: 0.324 (0.075) 
 Player: Opponent:  41.22% (G:8.85% B:0.42%) 58.78% (G:22.98% B:0.34%)  Conf.: กำ 0.015 (0.338...0.309)  [0.0%] Duration: 18 minutes 59 seconds 

4.  Rollout^{2}  Bar/24 18/17(2) 6/5  eq: 0.331 (0.083) 
 Player: Opponent:  43.01% (G:11.03% B:0.57%) 56.99% (G:30.06% B:0.46%)  Conf.: กำ 0.017 (0.348...0.314)  [0.0%] Duration: 22 minutes 10 seconds 

5.  Rollout^{2}  Bar/24 7/5 6/5  eq: 0.332 (0.084) 
 Player: Opponent:  44.69% (G:12.07% B:0.95%) 55.31% (G:29.37% B:0.46%)  Conf.: กำ 0.011 (0.343...0.321)  [0.0%] Duration: 15 minutes 54 seconds 

6.  Rollout^{2}  Bar/24 4/1*  eq: 0.398 (0.149) 
 Player: Opponent:  40.20% (G:8.56% B:0.28%) 59.80% (G:23.11% B:0.60%)  Conf.: กำ 0.011 (0.409...0.386)  [0.0%] Duration: 19 minutes 17 seconds 

7.  Rollout^{2}  Bar/24 4/3(3)  eq: 0.408 (0.160) 
 Player: Opponent:  39.22% (G:8.14% B:0.40%) 60.78% (G:17.84% B:0.28%)  Conf.: กำ 0.012 (0.420...0.396)  [0.0%] Duration: 21 minutes 22 seconds 

8.  Rollout^{2}  Bar/24 6/5(3)  eq: 0.409 (0.160) 
 Player: Opponent:  39.28% (G:8.26% B:0.38%) 60.72% (G:17.19% B:0.27%)  Conf.: กำ 0.011 (0.419...0.398)  [0.0%] Duration: 22 minutes 11 seconds 


^{1} 10368 Games rolled with Variance Reduction. Dice Seed: 54270926 Moves: 3ply, cube decisions: XG Roller
^{2} 1296 Games rolled with Variance Reduction. Dice Seed: 54270926 Moves: 3ply, cube decisions: XG Roller

1.  Rollout^{1}  Bar/24 18/17 2/1*(2)  eq: 0.789 
 Player: Opponent:  35.37% (G:7.30% B:0.25%) 64.63% (G:30.70% B:1.44%)  Conf.: กำ 0.013 (0.802...0.775)  [100.0%] Duration: 15 minutes 36 seconds 

2.  Rollout^{1}  Bar/24 4/1*  eq: 0.913 (0.125) 
 Player: Opponent:  32.57% (G:5.18% B:0.18%) 67.43% (G:28.21% B:0.86%)  Conf.: กำ 0.015 (0.928...0.898)  [0.0%] Duration: 17 minutes 58 seconds 

3.  Rollout^{1}  Bar/24 8/7 8/6  eq: 0.920 (0.131) 
 Player: Opponent:  30.40% (G:4.77% B:0.20%) 69.60% (G:22.90% B:0.29%)  Conf.: กำ 0.013 (0.933...0.907)  [0.0%] Duration: 13 minutes 49 seconds 

4.  Rollout^{1}  Bar/24 6/5(3)  eq: 0.979 (0.191) 
 Player: Opponent:  30.66% (G:5.71% B:0.29%) 69.34% (G:27.45% B:0.42%)  Conf.: กำ 0.017 (0.996...0.963)  [0.0%] Duration: 16 minutes 34 seconds 

5.  Rollout^{1}  Bar/24 18/17(2) 4/3  eq: 0.983 (0.195) 
 Player: Opponent:  34.57% (G:7.55% B:0.49%) 65.43% (G:38.17% B:0.69%)  Conf.: กำ 0.017 (1.000...0.967)  [0.0%] Duration: 17 minutes 42 seconds 

6.  Rollout^{1}  Bar/24 4/3 2/1*(2)  eq: 0.997 (0.209) 
 Player: Opponent:  32.25% (G:5.89% B:0.21%) 67.75% (G:32.41% B:0.84%)  Conf.: กำ 0.014 (1.011...0.983)  [0.0%] Duration: 11 minutes 41 seconds 


^{1} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
