Apparently, Aaron Barr was the CEO of some security company who "infiltrated anonymous, which resulted in them trashing his website, hacking his emails and his twitter account, and the people responsible for this later morphed into Lulzsec" https://en.wikipedia.org/wiki/HBGary
In other words, that Aaron Barr guy is irrelevant to this problem and was clearly not the guy who stole allinvain's coins.
The posts I linked showed his twitter account bragging about the theft - apparently, this was after the HBGary hack. Also the coins were stolen from a slushpool account and not a bitcoin core wallet (apparently), so the lulzsec guys must had hacked slush for the login info for people.
From what I read, some other people had coins stolen from slush not just allinvain.
If this idea wasn't brought 10 years ago in that thread then I'm surprised that nobody thought about that.
In any case, since you clearly don't have any hacking skills for stealing database logins, you should explain that to your harasser(s) and tell them to fuck off. The accusation seems bogus to me.