TripleA is very quick indeed, has a zoom function, uses unit pieces similer to the actual game (and units can be made larger or smaller depending on user preference) has all the rules built in, can auto post for PBE or PBF, has built in dice, built in battlecalc
TripleA also has an ‘edit’ function that is easy to use and allows you to change anything at any point in the game
Abattlemap only has an edit function and you have to type out your battles, moves, buys, dice, etc., every turn when PBF or PBE.
Not to mention it is extremely hard to for new users to learn Abattlemap and learn whats what in the tiny square icons.
Triple is extremely easy for new users to learn
TripleA also supports its own lobby and game server if you wish to play live rather than PBE or PBF
The only game TripleA currently does not offer is Global1940 Alpha rules (the OOB G40 works)
Im really looking forward to the finished version of G40 Alpha for tripleA
And understanding why anyone would prefer Abattlemap over TripleA (except to play G40 alpha) :P