Should you copy a person's accent when pronouncing their name?

https://lemmynsfw.com/post/30973507

Should you copy a person's accent when pronouncing their name? - Lemmy NSFW

For example, an English person might introduce themselves as “Bob”, whereas an American with the same name might introduce themselves as “Bahb”. (Sorry, don’t know the phonetic alphabet but hopefully you get my gist) Should you pronounce those two people’s names the same, with your own natural accent, or should you copy how the person says their own name?

My name is unpronounceable for most non-native French speakers. I tell them to not even try, as there are sounds in French that don’t exist in English. Instead, I introduce myself by butchering my own name, or by using the English equivalent to my name.
lol, I tell em to use my first name