There are no comparable _technical_ proof-of-registration methods because all of them would require actual access to registrar control panel and be outright silly ('point the domain to a random nameserver').
So no, proper registrars never use webserver control as means to prove identity or ownership.
Its digression from the original topic, still, it goes way far than that, these certificates are signed by a CA that the client devices trusts by the virtue of root certificates installed on the device. If I can some how obtain the SSL/TLS certificate for google then thats a very big deal.
But if you somehow managed to do that, no one in the right mind would argue that you're free to undelegate the domain or point it to a NS you control.