Before I realized that types can have several parents, I was really confused why LocalBusiness shows me sometimes the breadcrumb "Thing > Place > LocalBusiness" and sometimes "Thing > Organization > LocalBusiness".

I think it would be nice to represent this fact also in the breadcrumb on top of the page (and not only indirectly in the property table).

A simple solution: Show one breadcrumb line per parent, sorted alphabetically.

This (or a more beautiful solution) has also the benefit that the tbody elements won’t change their order (depending on which breadcrumb you happen to get).