I am not sure. The reason I'm not able to answer yes or no is that it depends on what's done with that information. If somebody can access the information that I supposedly own, that doesn't say much for my ownership rights.
The issue is more about presumptions. The presumption that it is private information should be the starting point, and then it's up to third parties and the state to make the case for access to that information.
That's the best way I can answer the question.