A major source of administrative and non-teaching staff is that many universities have added things like 'a hostpital' on the side. This is reasonable when you're running a med school with a research component: you need patients to work on, after all. The hospital provides a high standard of care to the community that it serves, and creates both revenue and costs, far in excess of any DEI program.

Not challenging your point, just also pointing out that this scenario was already factored in (i.e. hospital admin not included) when calculating the initial ratios.