They should really be impersonating Chrome. If this takes off, Firefox has such a small user share that I could see sites just banning Firefox altogether, like they do with Tor
If there are a lot of abuse masquerading as Firefox, outstripping legit users, they can totally throw up a CAPTCHA for Firefox but not for Chrome. An outright ban isn’t the only annoying outcome.
Perhaps you may get broken sites with Firefox, because no-one cared. But banning? Seems like a stretch.