Omg, removing the video is just next-level ridiculous. She did not sound awful, and the &Juliet cast also didn't sound great (and, as has been said, shows often sound bad at WEL), but no one has removed anything of theirs. Either it's because of Carrie's overreaction to her tiny (mostly unnoticable) mishap, or it's because the comment section was full of people saying the show itself looks shit, and ALW couldn't handle genuine reactions from the audience to his terrible show.
Edit: And Carrie's removed her second story about including in a book at some point what led up to WEL. Maybe her SoMe is getting some tidying up by her agents, for the first time ever. I imagine they'd break it to her very gently, something like this:
"We just feel it might not be such a good look to post that, Carrie, but we understand you completely and we think you're absolutely wonderful, of course".