It seems like SMS-based auth, with the "gimmick" that I trust this website instead of your website. So already I won't use it because I don't want to authentic

It seems like SMS-based auth, with the "gimmick" that I trust this website instead of your website. So already I won't use it because I don't want to authenticate via SMS. It also raises the immediate question of what happens when I change my phone number? But why should I trust this website more than your website? Unless your website is fully zero-trust it is probably better to trust you to throw away my phone number than handing my phone number to this company and other data to your company.