I have not tested with the 2H swords tbh. I still think bash would be better when using a 2H great sword as the motion (or at least the one i picture in my head) seems to make better use of the blade's weight.

I know that the 2H blades and axes inflict more bleeding than mauls (which deal more damage)

IMO mauls are better than the bladed 2H weapons because to make use of bleeding you need lots of hits, which will not happen in 2H styles... but someone may find that the blades have a benefit that I'm not aware of that makes them the better weapon.