Whitetail deer eat whatever is the easiest to eat. They will not chase anything. They constantly forage for food, and if it is there, they will eat it.
I've never heard of a deer chasing a squirrel or mouse in order to eat it. My nephew is a wildlife biologist, I need to ask him about this.

FOOLPROOF?
Never underestimate the power of a fool!

What if the "Hokey Pokey" really is what it's all about?