I disagree. The English language has spread around the world due to the US' work internationally.

More recently yes, but historically it was from the British Empire. US's influence has helped expand it to many countries that never had former extensive use of English creating many new second language speakers, but in terms of first language speakers, the British Empire is still the cause of almost all of them.

Well the UK government now also uses the "Türkiye" spelling.

And the British people still use Turkey, and always will.