> Dyson hand dryers, specifically, always have a nasty puddle of water at the bottom of their drying "crevice" in busy bathrooms.
That's just a bonus, the main issue with them as other comments have noted is that they shove the water off of your hands using their "air blades".
This aerosolises a significant fraction of that water (the rest goes and collects in the puddle you speak of), spreading it all over the room.
More classic driers primarily work by evaporation, and furthermore direct the air stream downwards (to the floor) rather than sideways (across the room).