This is a good way to get a mediocre president. If I'm the best at what I do, I'm going to go where I am valued the most (and it is reflected in my paycheck).
Alternatively, the cleaning staff will become very well paid. Unfortunately, something like this is very specific, so it is likely that, while the cleaning staff will get a bump in pay, any increases in cost will be offset by decreases elsewhere. Like to food staff. Or professors. Or to scholarships.
