I think this depends on how generalized and expansive you consider "traditional ownership ideas" to be. As GP notes, multiple people have different stakes in these documents. For example, the patient has privacy concerns which must be a pretty high priority, the doctor has a need to do business.

This can exist in our legal system of course, in the sense that the legal system can host arbitrarily complicated licenses and contracts, but it isn't obvious (to me at least) that this is the best framework.