I don't know how it is going in other places, but I see in my environment that big companies usually gives only their names and give the real work to somewhat smaller subcontractors. But those smaller subcontractors are still large enough to do just some paperwork and pass on the real work.
At the third or fourth level, there are really small noname companies (sometimes one-person companies) which can do their job very effectively due to the complete lack of bureaucracy.
But sometimes a level may collapse because a higher-level participant realize that a mediator doesn't do any effective work. In this case, a smaller company may come up one level in the pyrmamid. In other cases, the smaller company may gain very professional skills at a narrow technical area, so they can develop own clienture.
So, my answer is: be, even a 99th level, subcontractor.