You are correct. The verified flag exists on the corresponding user and the registration. You could optionally use the "verify registration" templatefor this purpose.
If you then ignored the verified: false flag on the registration in your code, it should not impact you.
Another option would be to listen for the user.registration.create event and then fire off an email on your end, or call the Email Send API to send a pre-made FusionAuth email template as a welcome event: https://fusionauth.io/docs/v1/tech/apis/emails/#send-an-email