At both unis I was at (U of Warsaw, TU Munich) courses with heavy loads contract out grading to students of the university. E.g. during my M.Sc. I was grading submissions for one of the B.Sc. courses I already completed. You get a small amount of money for that.

Contracting out to a company sounds extremely USA-pilled, as in "the university does not have enough resources so, instead of increasing their budget, we use THE FREE MARKET BABY and have a company whose whole existence is dependent on that resource hole continuing to exist."

If it's a job function that didn't exist 70 years ago and is not directly carceral, guaranteed it is not going to be a government employee in the USA.