2FA is such a PITA. This sounds like just the thing to finally prod me to eliminate Google from my life entirely!
No, I'm saying that 2FA provides a great deal of friction and inconvenience (and, if a phone is involved, it requires disclosing PII), so the benefit of a company's service has to be worth the hassle and maybe data leakage of it. In Google's case, for me, it's not.