For work like that, you hire an agency, and for actual workers there's usually a rotation, often keeping just one person between visits so they can tell the other people what to do.

I mean, I only know the names of the cleaning ladies at my workplace because they write their names on the receipts...

I dunno. I can't help but feel there's going to be some payoff to this little twist, otherwise all our time and story spent with Max was basically a waste of time.