No, I quoted where you said exactly that:
Nope. I do not pick up my wife’s dog’s shit, or walk it, or take it to regular* vet visits, or groom it. It is very much my wife’s pet that happens to live in the same house as I do. That’s the only difference between it and my friend’s pet cats, who I show as much affection to.
Don’t get me wrong - I’ve had pets of my own. I’ve had pet dogs, including sharing ownership of some with my wife. The current dog is not one of them.
It’s got nothing to do with “things on my plate”, and everything to do with the fact that I just do not want a pet anymore. Not space, not time, not other hobbies. I just don’t have a need or desire to own a pet right now or for the foreseeable future.
* I would, of course, take it for any emergency thing if needed.