The point is, if you believe I am the homeless man who tried to kill Hayley, then you have mod-provided information that says I am unaffiliated. STL himself posted that the homeless man was not in a gang.
The second write-up makes it clear that the gang leader canceled the lynch. The homeless man is not in a gang. So I can't both be the homeless man who got the gun and used it on Hayley, and be the person who cancelled the lynch. Plus, if I was the leader of the gang, none of this would have been brought up in the first place, since the "damning" evidence SOV and Doc kept talking about was that the gun was given to someone outside the gang.