This isn't something "auth engineers" can control, there's no magic Google Authenticator flag on a 2fa code - it's all HMAC and numbers, you don't know if the code came from Authy, Google Auth, a homebrew code generator, a dongle, etc.
I think I requested the reset with various details, then had to wait 24 hours before continuing.
About a decade ago I had suggested to Google at an identity forum that they embrace a local government/organization model for their hard-landing account recovery process (since it can ultimately devolve to an ID check) by having a mechanism where you can start the account reset process and get something which could be taken to a third party to approve after they do an ID check. As people increasingly depend on things like email accounts for everything there are a constant stream of people who will lose access to their phones but could easily visit a notary, library, DMV, police station, etc. and pass a check against a pre-registered government ID.
I don’t use Google but at least in the Apple world you also get a fairly different prompt for enrolling a new iCloud Keychain device than simply logging in. Obviously that’s not perfect but there is a good argument for not getting people accustomed to hitting okay for both high and low impact challenges using the same prompt.