For example, an English person called Bob might introduce themselves as “Bob”, whereas an American person called Bob 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?
Edit: I specifically picked a generic English name with different pronunciation across different accents. I know my wording wasn’t great, sorry! Hopefully the edit is a bit clearer.
Context and other languages
When pronouncing a name from a different language, I firmly believe you should copy the pronunciation of the owner of that name, and not Anglicise the name unless asked to. I say this as a speaker of a language that English people regularly mispronounce and even insist to me that they know the correct pronunciation of my language.
As a classroom teacher for students who are >80% immigrants from non-anglophone countries, I can actually speak with some authority on the subject. I have many students who have traditional names in other languages, as well as students whose parents 100% just made up something they thought sounded nice. I am one of the few teachers who emphasises correctly pronouncing students’ names. If they put stress on the second syllable, I put stress on the second syllable. If they have a non-english phoneme, you bet I’m learning how to do the clicks in Xhosa, or the “ng” in Vietnamese or Maori. I work very hard to make sure I’m pronouncing their names exactly how they do.
I have had three students in the last month alone remark on how I am the only teacher they’ve ever had who pronounced their name “right”. I have a student named Djibril who had extremely poor relationships with most of the teachers in the building, but who always does my work, and he straight up told me last year that it was because I am the only person in the entire school who actually pronounces his name correctly. Everyone else just calls him “juh-BRILL”, when he says it should be pronounced closer to “JEE-breel” (with a lilted r).
Making sure you pronounce someone’s name how they pronounce their name can be extremely important to social relationships, and having an anglicised name attached to them against their will is often mentioned among memoirs of immigrants as one of the first and most alienating things to happen to them when they enter an anglophone country. It’s not about expecting others to cater to your weird name. It’s about people having a basic modicum of respect for the humanity of non-dominant cultures. In america, at least, this respect has never been a thing. From Ellis island literally changing people’s names because they thought they would be hard for “real” Americans to pronounce, to interning anyone with a japanese name regardless of how long their family was in the US, to the new fascist roundups of anyone with a name that sounds plausibly nonwhite.
So, even with different “accents”, I’d say that pronouncing it exactly how they say it can be important. If someone in Germany went to the trouble of pronouncing the ‘w’ in my name with an american “w”, I’d appreciate it, at the least, but it would probably also make me remember them fondly every time someone else pronounced it incorrectly accented.