Namecoin's .bit registration process involves a blinded commitment step to prevent front running at time of registration. Also worth noting that the names expire after ~8 months if not renewed. Whomever has the private key for the most recent update to a .bit domain is the "owner" - not sure what you mean by "correct". On a technical level Namecoin names are essentially named colored coins with associated data that eventually expire if not updated.

Note: I am involved in the Namecoin project, and we do not endorse DNSChain in any way.