Failing to double before the roll is not really a mistake, according to the third diagram below, but it does affect the play—but in the opposite direction from what Keene suggested.
The difference is significant enough that I wonder if XG is misplaying something somewhere. I haven't checked.

              
 
              
 | | White is Player 2
score: 0 pip: 91 | | Unlimited Game | pip: 75 score: 0
Blue is Player 1 | |
| XGID=-CBBAbC-B---B---a--bbbbbb-:0:0:1:65:0:0:0:0:10 |
| Blue to play 65 |
| 1. | Rollout1 | 12/1 | eq: +0.605 |
| Player: Opponent: | 64.68% (G:0.55% B:0.00%) 35.32% (G:2.03% B:0.03%) | Conf.: ± 0.004 (+0.601...+0.610) - [100.0%] Duration: 1 minute 15 seconds |
|
| 2. | Rollout1 | 8/3 8/2 | eq: +0.496 (-0.109) |
| Player: Opponent: | 64.49% (G:2.45% B:0.02%) 35.51% (G:2.62% B:0.08%) | Conf.: ± 0.008 (+0.489...+0.504) - [0.0%] Duration: 2 minutes 58 seconds |
|
| |
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
With cube turned:

              
 
              
 | | White is Player 2
score: 0 pip: 91 | | Unlimited Game | pip: 75 score: 0
Blue is Player 1 | |
| XGID=-CBBAbC-B---B---a--bbbbbb-:1:-1:1:65:0:0:0:0:10 |
| Blue to play 65 |
| 1. | Rollout1 | 8/3 8/2 | eq: +0.241 |
| Player: Opponent: | 64.49% (G:2.45% B:0.02%) 35.51% (G:2.62% B:0.08%) | Conf.: ± 0.004 (+0.237...+0.245) - [92.6%] Duration: 2 minutes 48 seconds |
|
| 2. | Rollout1 | 12/1 | eq: +0.237 (-0.004) |
| Player: Opponent: | 64.84% (G:0.49% B:0.00%) 35.16% (G:2.02% B:0.03%) | Conf.: ± 0.003 (+0.234...+0.240) - [7.4%] Duration: 2 minutes 40 seconds |
|
| |
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Cube decision before roll:

              
 
              
 | | White is Player 2
score: 0 pip: 91 | | Unlimited Game | pip: 75 score: 0
Blue is Player 1 | |
| XGID=-CBBAbC-B---B---a--bbbbbb-:0:0:1:00:0:0:0:0:10 |
| Blue on roll, cube action? |
| Analyzed in Rollout | No double | Double/Take |
| Player Winning Chances: | 69.02% (G:1.02% B:0.01%) | 69.48% (G:0.81% B:0.01%) |
| Opponent Winning Chances: | 30.98% (G:1.78% B:0.03%) | 30.52% (G:1.51% B:0.02%) |
| Cubeless Equities | +0.373 | +0.765 |
| Cubeful Equities |
| No double: | +0.659 (0.000) | ±0.003 (+0.656..+0.663) |
| Double/Take: | +0.660 | ±0.004 (+0.656..+0.664) |
| Double/Pass: | +1.000 (+0.340) |
| |
| Best Cube action: Double / Take |
| Rollout details |
5184 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
| |
| Double Decision confidence: | 51.1% |
| Take Decision confidence: | 100.0% |
| Duration: 22 minutes 58 seconds |
eXtreme Gammon Version: 2.19.208.pre-release