I don't know how many hunters who are trying to get access to posted private land would want to hunt it if they were limited to shooting does, and multiple does at that. So, while it would make some sense for landowners to allow hunters access if they have problems with depredation, I don't know how successful it would be in actually reducing numbers compared to the landowner going out in the offseason and killing 10 or 12 deer.
As others have said, I see no hypocracy here. When animals cross the line from game animal to pest, then the ordinary rules get suspended.