What are some examples? I've been running ff on linux for quite some time now and am rarely blocked. I just run it with ublock origin.
I'm guessing if it's really Resist Fingerprinting on Firefox (something Mullvad also has on by default), then there are other settings that aren't being enabled causing the issue. Mullvad actually lists the settings related to resisting fingerprinting here - https://mullvad.net/en/browser/hard-facts