The use-case for identifying related people also applies to related organizations. For example, the guardian of a patient might be the state (and they might be the recipient of information). Similarly, the owner of an animal might be a company (e.g. farm) rather than an individual.

As well, when linking elements via Person, we could actually be linking animals and, if the above goes through, organizations. So I think renaming them to Individual is appropriate. I think the elements could remain largely unchanged. Obviously sex won't apply to organizations, but that should be ok. Not sure if there's a need to differentiate whether you're talking about an organization or a person.