Then what is the benefit of this arrangement? That is, based on what you said, it sounds like there is no meaningful difference between having a non-profit do

Then what is the benefit of this arrangement? That is, based on what you said, it sounds like there is no meaningful difference between having a non-profit do all the work, and a for-profit doing work on behalf of the non-profit that owns it. But if that was the case, why would anyone bother with the extra layers? I'm inclined to assume there is some reason for the extra layers, and I have difficulty believing those differences are in society's best interest.