Im sure it is just as with humans and other animals, some will get traits from the mother and some from the father just depends on the more dominant genetic marker.
There cannot be a hard and fast rule or the gene pool would not expand, if a doe carries the genetics for good antlers where does she get it? From her mom in the theory above, who got it from her mom etc. so where doe the buck ever weigh in?
Some people look like dad and some like mom, some dogs work and act like the mom and some like the dad, etc.
I think the theory of does carrying all the genetic weight came from the faction of our hunting brethren who dont like trophy units and antler restrictions and other things managers use to improve the genetics of herds because if it were true they can argue that we can shoot any and every age and antler class and not hurt genetics.
Kill the buck that makes YOU happy!