I hope any companies that adopt this product agree with you on this point. But in case they don't, I still think it's important to urge Cloudflare to make this product accessible.
A small company TBH would not adopt this kind of browser, and a large company that might is too paranoid about lawsuits & CYA behavior to not make such an exception once it got escalated. And if it became very wide spread, I think it would have that stuff built in too, because to get some big company / govt contracts an accessibility requirement eventually gets thrown in somewhere.
I hope then, at the small company you can just talk to the person and ask them to let you use the normal browser, just like you would if any other tool was interfering with your edge case, be it disability related or not. The nice thing about many small companies is they are biased towards less 'paperwork' and more action.
I find in most companies that you are not a minimum wage worker, the only real blocker towards not being able to do something is compliance law preventing you from not doing something. That conflict of laws is where most companies seize up. I hope something like this doesn't become a mandatory thing for compliance security things one day without proper accessibility support.