Bullshit. Y'all would, one way of another. A vacuum or an expensive and thorough cleaner.
I have three Neato robotic vacuums, one for each level of the house, and one for out guest house and office in the back. They are not dumb robots like the iRobot Roomba. They map a room and follow a specific cleaning route via a laser guidance system. The first clean the perimeter of a room, then methodically clean the interior of the room in a back-and-forth manner. None of that bouncing around bullshit. Once they complete a room, they move to the next room that they identified. They also learn your house over time, building a more and more accurate map of your floor plan, and they also identify areas with mobile objects, such as chair legs around a table, toys in a playroom, etc. They automatically return to a charging base to charge or when the dust canister is full.
Best fucking investment ever. The maid doesn't have to spend time vacuuming the house and, instead, can merely empty the dust canisters and spot clean. With that time, she can organize, arrange, etc.