Once a year "John Doe" receives the e-mail with WHOIS info and a question if that info is still valid:
> We are required by ICANN to send you the whois information for these domains once a year. If the information is correct, no action is needed. Otherwise please visit our website and update your whois information
That's all.
Just don't use GoDaddy or some other shit registrar what can yank everything from you just because they are a stupid behemoth without humans in support.
Or do you think registrar has nothing to do all day and casually stalks it's customers? Sends their info to FBI to check? HOW?
Your adversary disputes the ownership of example.com claiming they're the real John Doe, but the victim of a crazy stalker-hacker who hacked their e-mail and forced them to change address and phone number.
The registrar looks at the details they have on record. The adversary can't prove any of the details - but neither can you.