By even going to the site, you are giving them data. They have your IP address, the unique attributes of your browser, etc. etc.

Once they figure out the profile is fake, they list you in the "trouble maker" category and step up monitoring that IP/browser combination until they know who you are, then they link that with everything they have on the real you (bank account, property, job, etc.)

Eventually, one day, you're trying to board a plane and you get denied because you've been known to disseminate "false or misleading information".

Playing their game validates it. Just don't play.