eric5h5: But even if I use something else I don't see any captchas, like right now I launched Firefox, made sure all data was wiped, went to GOG, logged in, and bam, I'm in, no fuss.
I am unsure what triggers recaptcha on GOG (like you, I practically never face it), but two-factor authentication seems to trigger if BOTH of the following are true:
1. Your IP address (the public IP address that other machines on the internet sees you as) has changed.
AND
2. Your browser doesn't have a valid login cookie.
So for instance in your case, even if you apparently wiped all data (cookies) in Firefox, two-factor-authentication was not triggered because you probably still had the same public IP address.
However, I guess that doesn't have anything to do with recaptcha, it is not triggered for me even with those two conditions, only 2FA is. The thing that seems to cause recaptcha-issues at GOG is having some special build browser with custom skins and ten different adblockers. Somehow recaptcha has an issue with them.
I can't compare that to other sites because with e.g. Epic store or Steam I use their clients, which don't let me install adblockers or puberty blockers, or modify them in any shape or form. Well, Epic Store client still asks for a 2FA code every now and then, even when running it on the same PC. It may be it detects I am running it on two different PCs, hence thinks it is casual piracy (using the same account by different people, even if not at the same time), hence keeps harassing me with the 2FA code over and over again. Really Epic...