I forget where I read it, but cats are likely to eat you way faster. The dog, if it has a good bond, still will for survival, but feel bad about it and wait until it is starving. The cat is like “well, you’re meat now, don’t want to waste that”

I’d rather they eat me than starve. If I died tonight it would probably be a few weeks before anyone noticed

That is generally how carnivores function, yes.

Some herbivores make good pets.