The problem with the turkey rebranding is that it was a mere orthographic update, but it is using orthography that is very non standard(whatever that means for English), including using a diacritic rarely seen in English.
I could get behind it more if they completely changed the name, like a when Swaziland switched to eswatini. But for now, you can pry turkey from my cold dead hands
Big fan of Thanksgiving foods I see.
(Do you see the real problem? Lowercasing a proper noun that has another meaning when lowercased. Turkey/Türkiye is just the cherry on top)
So here's your why: because they asked you to and you are better at it than they are. If you need smug superiority, you could use that too, I guess.
People change their names and nick names all the time. I don't go and check every value of theirs before I use their new name. It's really not that complicated.
Frankly I dispute that Türkiye can be the English name given it contains a non-English letter.
We can choose not to do it, I guess, but place names change all the time. Istanbul vs Constantinople. New York vs New Amsterdam. Myanmar vs Burma. Czechia vs Czech Republic. Swaziland vs Eswatini.
It's "Eswatini" with a capital letter and no, it's not a complete change. In both cases the word means the place of the Swazi/Swati people. If you're not aware that Southern African languages use prefixes such as "e-" as well as suffixes (like e.g. the suffix "-land" in English) then I guess it's harder to recognise the word stem. But they are related terms, not a "complete change".