I may be wrong, but have an impression that people younger than me (I'm in my 70s) care much more about their names than my generation. My first name's unusual and I'm always being told I've got it wrong, am spelling it wrong, or it's pronounced differently .It can be mildly annoying but not worth a row, imo. I answer to anything that sounds like they meant me 😂 and just roll my eyes a bit while explaining that, yes, I do know my name. I've lived in countries where the language doesn't contain one of the sounds in my name, so have always let them adapt the pronunciation.
Most people on threads about name mispronunciation are really angry, upset about it and I don't rightly understand why - possibly something to do with 'identity', which seems to be quite a fragile thing these days? I don't know! I'm the same me whether you call me Joan, Jean, Jane, Jan or whatever. If it works as an identifier, it's serviceable.
Among my same-aged friends there's a Pidge, a Zippy, a Cat (not Catherine), a Sess (her name's Linda), a Vlad (woman), a Squidge, several Lulus whose names aren't Lulu, a Jake who just adopted the name at some point, dozens of made-up names that come from infant mispronunciations, a few Tinies and lots of nicknames derived from the bearers' surnames.
This must surely still happen? I've never heard anyone my age get worked up about being called the wrong name or nickname; at most there's a calm correction.
In the UK, you don't need a deed poll to change a name. As long as you can show you use "one name for all official purposes", you can just get on with it. I suspect this is changing with globalisation, as more systems require documented ID - but you could still have your passport issued as Squidge 🙂