I tested this extension that I've been using for a long time on the turnstile page and it got through, fwiw. I think it's a bit more subtle than how resistfingerprinting works but not sure what the privacy tradeoff is.
What all security extensions do you run? After running into issues over the years, with extensions doing multiple things that fight each other, I switched to trying to block via ublock origin as much as possible, then prefer other extensions to just do one thing to extend coverage, like this one. Makes it much easier to troubleshoot/exclude/disable when it breaks something vs. fiddling in settings.