No, i haven't named any of my pets after pokemon. I have actually done the reverse, and named my pokemon after my pets. In BW2 I had a Lucario named for my late Cinnamon German Shepherd. My Arcanine in Ultra Sun is inspired by my Great Pyrenees Prince. The Galarian Meowth i have in Shield is named after my cat.
I don't personally know of someone who has named their pets after pokemon, but don't disapprove of the practice, so long as the animal is happy, healthy, taken good care of and loved, i would not focus on something subjective like a good name.
I don't know if I would ever name my pet after a pokemon, I toyed with the idea, but never seriously did it. If i ever named a pet after a pokemon though it would be because I really thought I saw some quality in the cat or dog that reminded me of the pokemon, so I can't say what I would name a theoretical pet. The name for me would ultimately just depend on what the animal was like.