Somebody put it very well in saying that going along with grammatically-incorrect pronouns is the inch you give and then, eventually, male rapists in women's prisons is the mile that they take. After all, you accept Kevin (now Karen) as a woman, as you've been willingly referring to that person as 'she' - so why are you protesting now? What has suddenly turned you into an uninclusive intolerant bigot?
It's even sillier when you're talking about a celebrity whom neither of you will ever meet, and still insisting on 'respecting' that celebrity by using non-biological pronouns. Suppose I was talking to a friend in Basildon about films and happened to comment that I thought Javier Bardem was a talented man, would that make me a nasty disrespectful bigot, as he would naturally consider himself as a hombre and not as a man?
If somebody saw me and asked me what my pronouns were, I'd see them as either a bit dim or maybe not a native English speaker, who was very new to the language and still learning. Unless the latter, I think my reaction would be not dissimilar to how people react to Borat, when he asks them questions that either just don't make any sense and/or otherwise suggest somebody who struggles somewhat with his cognitive abilities.
And as for the suggestion upthread that it's not an issue about having to stop and think if every second person has an odd pronoun, that IS exactly what it is when people start demanding that everybody declare a pronoun.
If Tom and Michael are automatically 'he/him' and Angela and Sarah are automatically 'she/her' without anybody needing to think for a moment, you only need to remember the (currently - who knows how popular it may become?) few anomalies; BUT once you've told everybody to state pronouns, it is then implicitly incumbent on everybody to stop and think for every person, rather than just taking the instant natural grammatical step that you would if nobody had ever been asked: after all, the question commonly asked in these scenarios is "What are your pronouns?" as opposed to the doubtless now classed as hateful "Do you use normal pronouns?"
Kind of like asking every person to go individually through a very long list of every single known allergy and answer with a yes or no, when you could much more reasonably asked if people have any allergies, ended up with a 'safe - no concerns' list of the majority of people and saved everybody a load of bother. Except that allergies are a real thing and are important not to get wrong.