That's not really how AWD works. It shouldn't work any different than FWD or RWD. And all of them will be overpowered by the 4-channel ABS and so won't make any difference.

4WD (with some diffs locked) could be massively different. An automatic 4WD car will unlock the diffs when you press the brake so the ABS can work better. But an older style/simpler system where you put it in "4H" and locked the center diff will not do so.