Just like every other part of life, I'll generally call people what they ask to be called. Türkiye has requested internationally to be known under this name.
One doesn't get to dictate how their name gets rendered in a foreign language. The government of Turkey can feel free to ask, but the collective answer from the English speaking world should be "no".
I disagree. Again, if the German government demanded everybody call Germany "Deutschland", I'd say "we've been calling Germany 'Germany' for hundreds of years. The English word for Deutschland is 'Germany'. People are entitled to use the language they like, nobody is stopping you promoting 'Deutschland' and seeing if that takes off." It is not analogous with an individual person's name.
Updating everything, teaching everyone, no benefit to English speakers besides being nice. What happens next year if they wanna switch it back? And then the year after that if it changes again?
How many countries go through some sort of rebrand in a year? Who gets respected and who doesn't? Why?
Funny you mentioned the Czech Republic: there is a concerted effort by their hockey federation to be called Czechia and we’re getting blasted with it by Bell Media in Canada for the past few years
I wonder if this this region/language dependent. Because I remember that in russian, they’ve been called “Czechia” since at least when Czechoslovakia got broken up, but in english it still seems to be squarely referred to as “Czech Republic”.