Every once in a while, the Bay Area picks a new phrase that it enters into the public lexicon. "Pet owner" was said to invoke slavery, so "pet guardian" was the new thing you had to say, otherwise face consequence.
If you want to consider yourself a "pet owner" -- that's fine with me. If you'd rather be a "pet parent" -- more power to you.
But to take offense at someone else choosing either one of those for themselves?
Fuck off! What the hell do you care? If it hurts your sensibilities then do it differently yourself, but leave other people alone!