yes, that's exactly what I'm afraid of and it definitley sucks when it happens, I will be checking the alternatives that many helpful fellows recommended
I Don't recommend to use 2FA google authenticator as its's almost impossible to recover your account once you lost your codes. I've lost my device in which my codes were saved and i then i realized that i am unable to access my google account even my phone number was registered in gmail . I've lost all my data and trust me It sucks.