A website isn't a person, so call it whatever you want. It's still twitter to me, though I try not to think about it enough to care about what its called.
Honestly I'll call anyone real by their chosen name no matter how much I dislike them. Generally name jokes (Putler, Drumpf, Xi Jinpooh, Leon, etc) are just infantile and reddit-tier unfunny, if not actually offensive.
ChatHXB, which socialist leader do I share the most personality traits with?