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.
Why? This just seems like dick behavior for no benefit to anyone.
Sure, right up until people start using Deutschland. Prescriptivist attempts to control language will always fail.
It does if people use it enough.
How many countries go through some sort of rebrand in a year? Who gets respected and who doesn't? Why?
Or we could just keep calling it what we call it.