Hi @james19,
Welcome back to the Auth0 Community!
The password reset ticket also provides an email to the user, as mentioned in our documentation as well:
Trigger an interactive password reset flow that sends the user a link through email. The link opens the Auth0 password reset page where the user can enter a new password.
The email invitation for application signup is basically a password reset email, but customized in such a way that after a user sets their password a newly created user in configured within Auth0, while the only customization needed is for the password reset UI using query parameters.
I believe this Knowledge Article on Send Email Invitations for Application Signup - Additional Information should help better understand and configure the invitations. This article provides another step by step documentation and configuration.
Thanks!
Kind regards,
Remus