PPMN — Unclear difference between Output and Product OccurrenceDependencyKinds

One says "Output indicates that the target Entity is an output of some kind of the Occurrence.."
and the other says "Product indicates that the source Occurrence produces or creates the target Entity during the course of the Occurrence."
It seems both Product and By-product should be subtypes of Output (should at least be documented if not supported by the metamodel) but there is no definition of what would make a Product.

It's unclear if either would encompass destroying the Entity.