Cannot name myself an expert in production music, but i made quite a lot of edits in mb for it and plan to work further, so…
From one side i think it should be somehow separated from “usual”, not production music, but from the other side i cannot think for now how to better do it.
If we are speaking about primary type, then there is quite a common case when prod. music released as an “album” and generally the only difference between such public album and industry (non public) album that the public one doesnt contain track variations like (no choir), (no orchestra), (drums only) etc.
And if we are speaking about secondary type, then there could be a “compliation” albums, made from production tracks; also i know most of production music i listen could be classified as “soundtrack” since its music mostly for trailers (but i suppose there could a lot of other one lie music for TV, show and other media).