How does treating the tuition as a charge and payment (instead of the tuition being zero) benefit the university?
This is baked into grant funding and has been for at least 40-50 years. No one is doing anything underhanded here; NIH is fully aware of the situation. Some grant organizations, including NSF, are much stingier with their grant overhead (ie: don’t allow it).
Whether or not the overhead is fair is a matter of opinion, I guess. I don’t think it’s even close to the most broken aspect of grant funding, though.
At MIT it is easily 100k per year to fund a PhD student. But phd student gets much less than half of that.