This is by far the biggest selling point of Sign-In with Apple for me and I will continue to use it, and continue to not use apps that don't support it. I have plenty of e-mail aliases, but having an alias auto-generated for you is very convenient, and not having to generate a secure password is also very convenient.
The day AnyList gets hacked (not saying it will - but it's highly likely, the way security has taken a backseat due to "features") then at least my personal e-mail and password won't be there for every hacker on Earth to see and try to spam passwords to get into all of my other accounts.