ReCaptcha seems to use your logged-in status (and, I’d guess, account reputation), along with an ip reputation score when deciding whether to serve a captcha or not.
A GPDR request naming an IP address should allow them to provide those scores.
If not, it’s easily demonstrable that they are storing and using information that they’re not including in a GPDR response, and they deserve their multi-billion dollar fine.
Also, ReCaptcha’s behavior is obviously anticompetitive, and also using Google’s dominant positions in some markets to establish dominance in unrelated markets.
This is anti-trust lawyer candy.