And it's absolutely relevant what a person "is." If NRA TV uploaded a special report on gun control, it matters that you know it was produced by NRA TV. I can't believe I'm even having to argue this point.
Finally, I didn't defend students/academia reacting incorrectly to the professors, I just said I understood. A lot of people are (rightfully, I think) sick of neoliberalism's "free marketplace of ideas" approach to permitting right-wing toxicity, and can get carried away when they think that's what a speaker is relying on. That doesn't make them automatically right.