I tried sending the default new user notification after an account is created through SSO, but it doesn’t seem right. That email assumes that the user hasn’t logged in yet. It includes a password reset link that takes the user to a login screen. For an account that’s created through SSO, the user is already logged in when they get the email. The most straightforward way for them to reset their password if to do it on their WordPress profile page.
I think we’re going to have to send a custom, configurable, email here.