Isn't H-1B contingent on compensation in line with the local median for the role?

After graduating college I joined a company that paid generally below-market for everyone and had a significant number of H-1B employees and contractors.

The benefits were legendary but the pay was 20-30% lower than what was around.

I don’t have evidence of wrongdoing but I’ve occasionally wondered if it was some kind of scheme.

It is contingent on you documenting your going through the motions of pretending to keep compensation in line with "the local median".