Nah, the difference is that nitter doesn't stop you from using it with a modal and a force stripping of the browser's progressively loaded content if you aren't logged in.
I've used nitter for a couple of years now instead of twitter because I have no intention of ever making an account.
If a person went as far as ordering a "Kyiv Mule" instead of a "Moscow Mule", I'd assume that they'd be the type of person to care about choosing the spelling preferred by Ukrainians instead of the one preferred by Russians.