I mean...

Do we know if anyone actually complain to the SEC? I know they put out a statement they are monitoring it, but it's rather hard to miss, especially when noticing weird market trends is literally your job, unless they've said something otherwise it seems likely they did that on their own initiative. Especially when congress members (i.e. your bosses) have been putting out various statements about it...

If there was a complaint there are also lots of other options than hedge funds... banks, mutual funds, pension funds, etc...

I do not think pension funds and mutual funds short GME I mean hope not.

It seems somewhat unlikely that they were short, but they are the parties who I would generally expect to want increased regulation. Hedge funds on the other hand are probably delighted as a whole that there are lots of retail investors throwing money around in interesting ways - they generally excel in taking money from people doing that.