It all depends on the contract for the cleaning staff.
Around here the university did the opposite, they ended all cleaning contracts and hired their own staff with better pay. Costs went down, quality went up.
The problem was that due to idiotic (EU?) competition laws the maximum length for a cleaning contract was 2 years with a 1 year extension. So the firms worked kinda OK for the first 2 years and fucked around for the extension year since they wouldn't get renewed anyway. Quality went to shit, no one did the basic work of re-waxing the floors "the next contractor will do it" etc.
Around here the university did the opposite, they ended all cleaning contracts and hired their own staff with better pay. Costs went down, quality went up.
The problem was that due to idiotic (EU?) competition laws the maximum length for a cleaning contract was 2 years with a 1 year extension. So the firms worked kinda OK for the first 2 years and fucked around for the extension year since they wouldn't get renewed anyway. Quality went to shit, no one did the basic work of re-waxing the floors "the next contractor will do it" etc.