Hi, nice article.
Regarding the double two:
I was surprised to see that taking off four checkers would be the best move here. I would have taken just two checkers off. I double checked that with GNU which confirms two checkers off is fine (three checkers off seems even better with a small margin). The interesting thing though is that if black owns the cube taking four off seem to be a huge blunder, that wins fewer games and fewer gammons and the extra backgammons doesn't help much.
Maybe the cube should be in the center like in the diagram? Then it still doesn't make any sense to me since white would have to settle for 1 point because of the jacoby rule.
Good problem anyway in which shows how unsafe the "safe" move is here.
Summary of what I got from GNU:
Money game, black owns the cube on 2:
4/off 2/off(2) 1,65 4/off(2) 1,63 4/2(4) 1,48 VERY BAD 2/off(4) 1,25 Worse!
/Sven-Olav Norén