> Twitter and the media went nuts, demanding he be fired.

Demanding someone be fired by the people with the authority to do so because you perceive that they are unsuitable for a particular role isn't lynching. It may be, in some cases, unjustified by he facts, but what makes a lynching a lynching has nothing to do with whether the accusations made are unjustified.

> It exactly is

I don't think you understand what a lynching is, because none of what you have described resembles one in any meaningful way.