The company has already officially been renamed. https://sfstandard.com/2023/04/11/twitter-is-now-called-x-co...
I was going to joke about Prince and Weird Al fighting over the name but I see I said that already https://news.ycombinator.com/item?id=11604783
Increasingly, no.
The company is now X, the logo is X, the <title> tag says X, and the app is now X.
Only the .com remains, for now. I suspect it’s the hardest to change.