Even though you can remove SMS as a 2FA, it looks like Google still asks for an email and phone for "Account recovery options". Probably should remove that as well?
I needed an untraceable email to send from for reasons I won't go into but couldn't create one.
If you're poor but need a webmail account you need a phone. You can't even put in a fake number since you need to reply to the approval link setup email. Gmail, Outlook, Yahoo, everyone one I tried all require a phone.