This is why the torbrowser/firefox "try to make everybody look the same" approach is doomed.

Adding white noise is the only solution: "try to make your fingerprint on each website for each brower-restart look as different as possible (a) from your fingerprint on every other website and (b) from your fingerprint on the same website on a previous browser-restart".

That's the best you can do anyways without rejecting first-party cookies.

Brave does this, and it is the right way. I just wish Firefox would wake up and clue in to this.