Either 5pt beats either 4pt.
In the early game, those are wise words. In these variants, the deck is stacked against anchoring in several ways, and it takes all of them to push pointing on the 4pt ahead of anchoring on the 20pt. The margins, however, are slim. Only in one of the variants is it decisive.
52S64H21H62U42
Here is the original position. The opponent's blots are on the 1pt, 2pt, and 7pt.
  White is Player 2
score: 0 pip: 171  Unlimited Game  pip: 160 score: 0
Blue is Player 1  
XGID=aaEaDdDceAA:0:0:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  8/4 6/4  eq: +0.2346 
 Player: Opponent:  55.29% (G:16.19% B:0.64%) 44.71% (G:10.73% B:0.40%)  Conf.: ±0.0021 (+0.2324...+0.2367)  [81.5%] Duration: 8 hours 06 minutes 

2.  Rollout^{1}  24/20 22/20  eq: +0.2333 (0.0013) 
 Player: Opponent:  55.41% (G:13.15% B:0.41%) 44.59% (G:7.85% B:0.27%)  Conf.: ±0.0019 (+0.2313...+0.2352)  [18.5%] Duration: 8 hours 12 minutes 

3.  Rollout^{2}  13/7*  eq: +0.1127 (0.1218) 
 Player: Opponent:  52.34% (G:15.54% B:0.73%) 47.66% (G:12.37% B:0.56%)  Conf.: ±0.0082 (+0.1045...+0.1209)  [0.0%] Duration: 47 minutes 00 second 


^{1} 62208 Games rolled with Variance Reduction. Dice Seed: 82808387 Moves: 3ply, cube decisions: XG Roller
^{2} 5184 Games rolled with Variance Reduction. Dice Seed: 82808387 Moves: 3ply, cube decisions: XG Roller

Rollout by Taper_Mike 2016May16 eXtreme Gammon Version: 2.10.199.2658 52S64H21H62U42ntm.xgp n[P @1 H122] "<=62*5 n[P @3 H124] "&e 
eXtreme Gammon Version: 2.10
Variant #1 – 52S64H21H61U42
In the first variant, White has fewer ways to capture Blue's 7pt. His blots are on the 1pt and 7pt.
  White is Player 2
score: 0 pip: 172  Unlimited Game  pip: 160 score: 0
Blue is Player 1  
XGID=bEaDdDceAA:0:0:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  8/4 6/4  eq: +0.2952 
 Player: Opponent:  56.55% (G:17.54% B:0.88%) 43.45% (G:10.59% B:0.38%)  Conf.: ±0.0022 (+0.2930...+0.2974)  [83.3%] Duration: 8 hours 20 minutes 

2.  Rollout^{1}  24/20 22/20  eq: +0.2938 (0.0015) 
 Player: Opponent:  56.64% (G:14.48% B:0.54%) 43.36% (G:7.67% B:0.28%)  Conf.: ±0.0020 (+0.2918...+0.2958)  [16.7%] Duration: 8 hours 23 minutes 

3.  Rollout^{2}  13/7*  eq: +0.1671 (0.1281) 
 Player: Opponent:  53.50% (G:16.46% B:0.98%) 46.50% (G:11.96% B:0.51%)  Conf.: ±0.0083 (+0.1589...+0.1754)  [0.0%] Duration: 45 minutes 18 seconds 


^{1} 62208 Games rolled with Variance Reduction. Dice Seed: 51381159 Moves: 3ply, cube decisions: XG Roller
^{2} 5184 Games rolled with Variance Reduction. Dice Seed: 51381159 Moves: 3ply, cube decisions: XG Roller

Rollout by Taper_Mike 2016May17 eXtreme Gammon Version: 2.10.199.2658 52S64H21H61U42ntm.xgp n[P @1 H128] "<=62*5 n[P @9 H122] "&e 
eXtreme Gammon Version: 2.10
Variant #2 – 52S64H21H61U42
The two rollouts above are virtual ties. When the opponent has a credible chance of anchoring on Blue's 5pt on the next roll, the balance swings slightly in favor of making the 4pt.
  White is Player 2
score: 0 pip: 173  Unlimited Game  pip: 160 score: 0
Blue is Player 1  
XGID=aaaEDdDceAA:0:0:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  8/4 6/4  eq: +0.2314 
 Player: Opponent:  55.69% (G:14.48% B:0.65%) 44.31% (G:10.89% B:0.37%)  Conf.: ±0.0029 (+0.2285...+0.2344)  [100.0%] Duration: 4 hours 17 minutes 

2.  Rollout^{1}  24/20 22/20  eq: +0.2199 (0.0116) 
 Player: Opponent:  55.62% (G:11.32% B:0.38%) 44.38% (G:8.16% B:0.28%)  Conf.: ±0.0028 (+0.2171...+0.2227)  [0.0%] Duration: 4 hours 15 minutes 


^{1} 31104 Games rolled with Variance Reduction. Dice Seed: 15601324 Moves: 3ply, cube decisions: XG Roller

Rollout by Taper_Mike 2016May20 eXtreme Gammon Version: 2.10.199.2658 52S64H21H51U42ntm.xgp n[P @12] "<=31 n[P @16] "&e 
eXtreme Gammon Version: 2.10
Variant #3 – 52S64H21H31V42
Putting the opponent's blots are farther back creates an intermediate position.
  White is Player 2
score: 0 pip: 175  Unlimited Game  pip: 160 score: 0
Blue is Player 1  
XGID=aaaEDdDceAA:0:0:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  8/4 6/4  eq: +0.3133 
 Player: Opponent:  57.49% (G:16.16% B:0.71%) 42.51% (G:10.70% B:0.38%)  Conf.: ±0.0022 (+0.3111...+0.3155)  [99.9%] Duration: 8 hours 54 minutes 

2.  Rollout^{1}  24/20 22/20  eq: +0.3085 (0.0048) 
 Player: Opponent:  57.48% (G:13.37% B:0.49%) 42.52% (G:8.06% B:0.29%)  Conf.: ±0.0020 (+0.3064...+0.3105)  [0.1%] Duration: 9 hours 07 minutes 


^{1} 62208 Games rolled with Variance Reduction. Dice Seed: 96725549 Moves: 3ply, cube decisions: XG Roller

Rollout by Taper_Mike 2016May19 eXtreme Gammon Version: 2.10.199.2658 52S64H21H31V42ntm.xgp n[P @5] "<=62 n[P @8] "&e 
eXtreme Gammon Version: 2.10
Variant #4 – 52S64H21H21U42
Leaving the opponent with two checkers on his 24pt finally swings the balance decisively. This is a clearcut exception to the rule.
  White is Player 2
score: 0 pip: 176  Unlimited Game  pip: 160 score: 0
Blue is Player 1  
XGID=baEDdDceAA:0:0:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  8/4 6/4  eq: +0.3808 
 Player: Opponent:  58.53% (G:18.12% B:1.01%) 41.47% (G:10.49% B:0.38%)  Conf.: ±0.0061 (+0.3747...+0.3870)  [100.0%] Duration: 1 hour 06 minutes 

2.  Rollout^{1}  24/20 22/20  eq: +0.3408 (0.0401) 
 Player: Opponent:  58.03% (G:14.49% B:0.60%) 41.97% (G:8.00% B:0.29%)  Conf.: ±0.0058 (+0.3350...+0.3465)  [0.0%] Duration: 1 hour 06 minutes 


^{1} 7776 Games rolled with Variance Reduction. Dice Seed: 94130989 Moves: 3ply, cube decisions: XG Roller

Rollout by Taper_Mike 2016May20 eXtreme Gammon Version: 2.10.199.2658 52S64H21H21U42ntm.xgp n[P @40] "<=7 n[P @39] "&e 
eXtreme Gammon Version: 2.10
Variant #5 – 52S64H21H54@42
When White has an advanced anchor, the pointing play plummets in value.
  White is Player 2
score: 0 pip: 170  Unlimited Game Jacoby Beaver  pip: 160 score: 0
Blue is Player 1  
XGID=abEDdDceAA:0:0:1:24:0:0:3:0:10 
Blue to play 24 
1.  Rollout^{1}  24/20 22/20  eq: +0.1062 
 Player: Opponent:  53.00% (G:9.73% B:0.31%) 47.00% (G:8.72% B:0.28%)  Conf.: ±0.0129 (+0.0933...+0.1190)  [100.0%] Duration: 4 minutes 04 seconds 

2.  Rollout^{1}  8/4 6/4  eq: +0.0674 (0.0387) 
 Player: Opponent:  52.34% (G:10.65% B:0.38%) 47.66% (G:11.44% B:0.37%)  Conf.: ±0.0130 (+0.0545...+0.0804)  [0.0%] Duration: 3 minutes 47 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 75109221 Moves and cube decisions: 3ply

Rollout by Dmitriy Obukhov 2011Sep07 eXtreme Gammon Version: 2.xx 52S64H21H54@do xgp [@ P39] "<1 
eXtreme Gammon Version: 2.10