Some cats are hunters, some are not.

Hunters do it because that is what they like to do, not for the food, unless they are strays and need to eat.

My neighbors cats are excellent hunters with birds. I have seen both of them, sit very still then bolt straight up and come back down with a bird in its mouth! Poor bird, but very impressive for the cat!

If these cats WANT to catch mice, then they will. It has nothing to do with feeding them or not.

Your neighbor is not too intellegent when it comes to cats. If you can, go buy him some mouse traps, and give them to him. He may get the message then!!

BTW- DO you have mice around your house???