alt Hacker NewsNo, mopping is not for dust, but rather for sweaty/greasy/sticky matter that accumulates and can't be recovered by vacuuming. This is why proper cleaning is vacuuming + mopping, and it was like this before the invention of the cleaning robot.
You can also mix a non-foaming detergent with the distilled water to have an even more thorough cleaning (or just ask the robot to pass more than once). Robot mops are typically rougher to compensate for the lack of detergent, though.
It's the same for professional car cleaning - it's done with distilled water. If what you said was true, it would be impossible to clean cars as they are much more polished than tiles.
so it's going back to square 1: sweaty/grease/sticky matter not going to be picked up 100% by mop after it was diluted by water. distilled water or not distilled water.
this is why floor buffers exist. to buff the floor so it will be nice and shiny.
professional car cleaning usually made with deionized water. much easier than bringing distillery. but even with usual water on my car there will be usually no marks after wiping it with towel.