A human using a browser feature/extension you personally disapprove of does not make them a bot

So...? It is my site. If I see visitors engaging in behaviour I deem disrespectful or harmful, I'll show them the boot, bot or human. If someone comes to my party, and starts behaving badly, I will kick them out. If someone shows up at work, and starts harassing people, they will be dealt with (hopefully!). If someone starts trying to DoS my services, I will block them.

Blocking unwanted behaviour is normal. I don't like anything AI near my stuff, so I will block them. If anyone thinks they're entitled to my work regardless, that's their problem, not mine. If they leave because my hard stance on AI, that's a win.

Once your content is inside my browser I have the right to disrespect it as I see fit.

Then I have the right to tell you in advance to fuck off, and serve you garbage! Good, we're on the same page then!