Our big cat uses a dog door any time.

[kit kat]

We live in a very rural area.  Kit Kat is about two.  He was abandoned by a tenant of ours about a year ago.  He kills two birds a day that I see.  I try to get the bird and let it go.  I try to lock up Kit Kat, while I get the bird to fly outside.  I hear the dog door flap when he comes and goes.  I've read all the bell collar comments, and I still don't know if I should put one on him.  He sleeps most of the day, and runs around at night.  He also brings in live mice.  He generally stays on our 1-1/2 acre home site.  I think I'll start with a little collar and see how he reacts to that.  He's a Norwegian Forrest Cat.  He doesn't meow, but he complains loudly and oddly when confined -- while I'm trying to save a bird or mouse.  I am going to get him chipped.  He doesn't eat his catch.