Cleaning up White's blot didn't seem to have much effect, but there are other seemingly subtle changes that have a noticeable effect. Can't say I understand what's going on in all of these.
Variant 1
  White is Player 2
score: 0 pip: 133  Unlimited Game  pip: 144 score: 0
Blue is Player 1  
XGID=bBCBCbABbadbBb:0:0:1:12:0:0:0:0:10 
Blue to play 12 
1.  Rollout^{1}  13/10  eq: +0.321 
 Player: Opponent:  57.76% (G:14.12% B:0.54%) 42.24% (G:9.72% B:0.30%)  Conf.: ± 0.012 (+0.310...+0.333)  [99.2%] Duration: 17 minutes 34 seconds 

2.  Rollout^{1}  13/11 5/4  eq: +0.301 (0.021) 
 Player: Opponent:  57.41% (G:13.94% B:0.50%) 42.59% (G:9.64% B:0.28%)  Conf.: ± 0.012 (+0.289...+0.313)  [0.8%] Duration: 16 minutes 27 seconds 

3.  Rollout^{1}  15/13 5/4  eq: +0.283 (0.039) 
 Player: Opponent:  57.15% (G:13.38% B:0.54%) 42.85% (G:10.25% B:0.34%)  Conf.: ± 0.012 (+0.271...+0.295)  [0.0%] Duration: 16 minutes 30 seconds 

4.  XG Roller++  15/14 15/13  eq: +0.213 (0.108) 
 Player: Opponent:  55.47% (G:12.59% B:0.43%) 44.53% (G:9.56% B:0.28%)  


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10
Variant 2
  White is Player 2
score: 0 pip: 131  Unlimited Game  pip: 144 score: 0
Blue is Player 1  
XGID=BbCBCbABbadbBb:0:0:1:12:0:0:0:0:10 
Blue to play 12 
1.  Rollout^{1}  13/10  eq: 0.106 
 Player: Opponent:  46.74% (G:11.16% B:0.45%) 53.26% (G:12.11% B:0.40%)  Conf.: ± 0.013 (0.119...0.093)  [73.3%] Duration: 17 minutes 01 second 

2.  Rollout^{1}  16/13  eq: 0.112 (0.005) 
 Player: Opponent:  46.53% (G:9.24% B:0.33%) 53.47% (G:10.53% B:0.37%)  Conf.: ± 0.012 (0.123...0.100)  [26.7%] Duration: 16 minutes 37 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10
Variant 3
  White is Player 2
score: 0 pip: 133  Unlimited Game  pip: 147 score: 0
Blue is Player 1  
XGID=bBCBCbABbadbBb:0:0:1:12:0:0:0:0:10 
Blue to play 12 
1.  Rollout^{1}  16/15 16/14  eq: +0.240 
 Player: Opponent:  55.73% (G:13.78% B:0.50%) 44.27% (G:10.72% B:0.32%)  Conf.: ± 0.012 (+0.228...+0.252)  [100.0%] Duration: 16 minutes 53 seconds 

2.  Rollout^{1}  16/14 5/4  eq: +0.201 (0.039) 
 Player: Opponent:  54.52% (G:13.74% B:0.49%) 45.48% (G:10.96% B:0.35%)  Conf.: ± 0.013 (+0.188...+0.215)  [0.0%] Duration: 16 minutes 45 seconds 

3.  Rollout^{1}  14/11  eq: +0.196 (0.045) 
 Player: Opponent:  54.55% (G:13.93% B:0.51%) 45.45% (G:10.54% B:0.33%)  Conf.: ± 0.012 (+0.183...+0.208)  [0.0%] Duration: 17 minutes 48 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10
Variant 4
  White is Player 2
score: 0 pip: 135  Unlimited Game  pip: 148 score: 0
Blue is Player 1  
XGID=bBCBCbABbadbbB:0:0:1:12:0:0:0:0:10 
Blue to play 12 
1.  Rollout^{1}  16/13  eq: 0.018 
 Player: Opponent:  49.15% (G:12.15% B:0.44%) 50.85% (G:12.87% B:0.53%)  Conf.: ± 0.013 (0.031...0.005)  [74.2%] Duration: 16 minutes 18 seconds 

2.  Rollout^{1}  13/10  eq: 0.024 (0.006) 
 Player: Opponent:  48.96% (G:12.32% B:0.48%) 51.04% (G:12.54% B:0.47%)  Conf.: ± 0.014 (0.038...0.011)  [24.8%] Duration: 16 minutes 27 seconds 

3.  Rollout^{1}  13/11 5/4  eq: 0.038 (0.020) 
 Player: Opponent:  48.74% (G:12.27% B:0.44%) 51.26% (G:12.95% B:0.46%)  Conf.: ± 0.014 (0.051...0.024)  [1.0%] Duration: 15 minutes 06 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10