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.
> 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
Most of it is picked up since it is retained by the mop, which the robot can then clean at the station.
And unless your flooring is made of mirrors, you'll hardly notice after two passes, or if you run a deep mopping mode, especially everyday. Tiled floor in houses is typically not mirror-like in order to absorb sound.
Most industrial robots cleaning shopping malls work like this and don't have additional equipment to wipe the water dry.