I commonly refer to my last name as vowel soup (I'm french, and it's the Americanization of my family name). It's such a niche last name that I've heard all of two people get my name right and both of them were Cajun or Cajun adjacent - most native French speakers are totally lost on it. I always tell people to call me by my first name when this comes up.

I've watched as people did as you described where they spend an inordinate amount of net time (it usually occurs in fragments, such as at the beginning of a meeting) trying to get someone's name "right". When I let people do this, instead of just opting for my very American first name, it almost always felt like I was watching a parody of my last name play out in real time. I didn't put too much thought into it, but holy hell does it get old. I don't like being in the spotlight and wokeism is already very offputting to me.

If you find yourself doing this, consider this: I have a weird name and I don't remember people's names very well at all. I remember faces, experiences, and feelings much more. You'll get my name right over time as you hear people around me say it. That's just fine with me.