I don't usually cover these ones, however, since it intersects with the First Amendment and the Internet, I'll give a crack at it.
I think that, yeah, it's a clear 1A violation for a sex offender to be forced to go around social media with a mark of shame.
It's compelled speech. This is ipso facto a First Amendment violation.
Even if it's an awful person, I don't really want to be making exceptions here and there, on principle.
Also, this sounds like a good way to attract harassment and to avoid positive socialization. Their families might also be harassed.
Someone who is up to evil could likely find a way around this. This is going to hit someone acting in good faith, rather than a bad actor.
You also have to consider that some sex crimes are more or less heinous than others. Does it make sense to treat a more minor one the same as the worst of the worst?
Also, some of these were committed as *minors*.