Both available choices "share the information with Google" for most people. The majority of email account creations use a Gmail or Google Workspace address, so Google gets the information either way, and in Europe most use Android so can't sign in with Apple.
Again that's off topic. I'm not talking about the fact that people choose the Google SSO instead of username/password.
I'm talking about the fact that people choose to not use the service if there is no SSO.
Because they don't want to have those experiences where they sigh, roll their eyes, then try and remember a password they made months ago just so they can continue using this thing they signed up for. So they just skip the service altogether.