My follower has been using a crappy wooden bow despite the awesome daedric bow I gave her since the game release. Well, at first she used the correct bow but latter in the game, it seems as if she got nostalgia of her old bow and won't switch no matter what. It's not a new 1.2 problem.
Prior to the 1.2 patch my lacky's always used the good bows and weapons I gave them. Only if I gave them some loot to carry they might swap armor or a weapon for some crappy piece useally the helmet for some reason.
I have now tested it on 3 followers and they are all failing to use bows but do use the mellee weapons.