Why the order is not neutral
On a single run, position in the sequence has consequences. The suite visited first gets a cleaner who is fresh and unhurried; the suite visited last absorbs every delay that occurred earlier in the evening. If a meeting ran late in the second tenancy, the time is not recovered from the schedule, it is recovered from whoever is at the end of the run.
Rotating the order is one answer but it is not always the right one. Some suites genuinely need to be first because of a drying requirement or an early opening, and rotating them out of position solves one problem by creating another. Where a fixed order is necessary, the fairer approach is to protect a minimum time for each tenancy rather than to move them around.
