I know exactly what you mean cuz I hunt a huge wood block of white oaks and it is packed full of squirrels (grey and black) and they make more noise than a deer when their just running around grabbing acorns. To me the deer just go about the norm along with the squirrels maybe cuz of the large supply of acorns. The squirrels are the ones that let me know when a larger animal is coming cuz they'll "bark" or something and shake their tail flicking it while they're in a tree. Like a crazy neighbor the deer just deal with it (squirrels).
I agree 100%the other one to listen for are blue jays,if they start screaching look out somethings coming,unless of course they spotted you then they're ratting YOU out
Now therefore take, I pray thee, thy weapons, thy quiver and thy bow, and go out to the field, and take me some venison.
Genesis 27:3 "The thinking deer hunter should mature through three phases during his hunting life. First phase, "I need to kill a deer." Second phase, I want to harvest a nice deer. And last phase, we must manage this resource so our children and their children can experience the grand tradition of good deer hunting." - Jim Slinsky