That's a truism. It depends on the administrator, and in general executives and administrators aren't paid on the value they bring, but based on a sort of signalling game with the oversight board that determines their compensation. If pay was really based on value to the system, Chancellors that are fired or denoted under scandal wouldn't keep their pay.

https://www.sacbee.com/news/investigations/the-public-eye/ar...

I've seen graduate students bring in millions of dollars of federal grant money from the NIH, NSF, and the DOE that would have been awarded to other institutions had that grant student not written their proposal. I've seen schools take half of this grant money for overhead and use it to pay for administrative bloat under the pretext of 'keeping the lights on.'