Never really matters with this nonsense.
Certainly it does.
The lie was bullshit.
Wolfe didn't help himself out though... There are clips where he tried to blame the "victims" which never goes well.
His problem is that he did nothing.
Guy paints a swastika with human feces, he says nothing.
Students ask him about systematic oppression, he blames the students themselves.
Look, he's probably a good guy. I am sure he is, but he really handled the students concerns extremely poorly.
He wasn't fired because he was racist, he was fired because he just didn't say anything against it.
Not saying that it's right, but it is what it is.