Jet engines have been certified to cope with bird strikes. Maybe not huge birds like eagles or condors necessarily, but average feathered friends.
On the other hand,a max takeoff weight high speed abort near V1, regardless of the reason why, is a risk laden decision especially on a limiting wet or dry runway. So many things can go wrong and the most likely cause of a cocked up abort is the human factor aspect.
It's a roll of the dice but generally safer to continue the takeoff. Statistics have demonstrated that.