I use twitter a fair bit and haven't seen any disruptions - though I use it only in browser, maybe the app has seen some. It seems like only the Spaces part with Trump was overrun and not working which does make Musk's claim seem sus but they got it rather quickly working anyway. Ever since Musk took over there has been an insane amount of doomposting about twitter but it's still going fine.
Aren't those basically separate systems? I would have thought the Spaces feature runs on its own set of servers, thus might experience outage for whatever reason totally separate from the other Twitter/X functionality.