Is the PMC an actual class? Anarchists think so. Some labor organizers think so (especially those with anarchist tendencies). But the PMC are non-owners. They are more akin to petite bourgeoisie, but with even less reason to be reactionary.
Under socialism, I would like to see the responsibility of oversight and reporting to be through elected representative managers, not overseers - elected by the workers from among their peers, based on those who show the greatest potential for reducing the chaos of work through empathy forged in lived experience.
The PMC has changed over the last century, and it has many segments. Many who would be considered a sort of the PMC are actually intellectual workers solving abstract problems and then trying to implement those solutions in real conditions. I don't know that it makes sense to treat it as a real class.