Depends on the cat & its personality I guess.

I had a cat named Gizmo. My wife adopted a cat named Tiny Dinosaur. When Gizmo died, T.D. wasn’t too upset about it. Then I got a new cat named Elmira. When T.D. died, Elmira was pretty sad. She cried and sulked. Then my wife got a new cat named Fluffy. When Elmira died, Fluffy didn’t care.

Hmm maybe my wife just raises cold indifferent cats.