Yeah, a lot of genetics for antlers or any other thing in an animal is passed by the doe. But if that doe's daddy was an "inferior" animal than she will have a good chance of carrying "inferior" genes for head wear. In cattle they always tell you if you want to know how a cow's bull calves are going to look, take a peak at her sire. If you want to know how good the females are going to be, take a look at the sire's dam.

IF you want to manage for huge racks and all of that I don't think AR's are the best bet as people keep pointing out there are lots of 1.5-2.5 year old deer out there with very large racks. These are the deer trophy hunters want to have around to have doe offspring so their genetics are carried on. In some regards by instituting AR's you will be keeping the older animals that might max out as weak 8 points in the herd while removing the bucks that will have the impact you are looking for.