I haven't worked through the grunt work myself, but I'm fairly certain it's basically not possible to design a completely fingerprint-proof browser so long as a

I haven't worked through the grunt work myself, but I'm fairly certain it's basically not possible to design a completely fingerprint-proof browser so long as a browser includes a programmable Turing machine via Javascript, not to mention network request statistic info etc, all of which are used by completely legitimate websites to improve their experience & performance.