No, that will not be an issue for the Link plugin. Well, the slug issue anyway. Do both the org and the individual have the same email address? That, could be an issue, because the only way I could think of to link a registered user to an entry was by email. That was the safest bet since email addresses for registered users have to be unique. Link will go grab the first matching email address it finds and link that entry. So, if both the org and individual have the same email address it is likely the auto link will grab the org first since it was input first. Does that make sense?