Seems to me like the main problem here was that the hospital wasn’t training its housekeeping staff properly. If anybody needs to know about hospital hygienic routines it’s them, and somebody decided it wasn’t necessary to teach them. Or just forgot that they were around as long as the surfaces looked clean and the bins were emptied.
Also, nobody thought to check the laundry facilities or routinely sterilize sheets for immune compromised patients? Seems pretty obvious to me.