>It's getting to the point where a user needs at minimum two browsers. One to allow all this horrendous client checking so that crucial services work, and another browser to attempt to prevent tracking users across the web.

What are you talking about? It works fine with firefox with RFP and VPN enabled, which is already more paranoid than the average configuration. There are definitely sites where this configuration would get blocked, but chatgpt isn't one of them, so you're barking up the wrong tree here.