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!
NixOS.
It is good for everything, if you invest a little time[^1] into it.
[^1]: Your entire life, lol.