No, sorry. The surfactant does help pull junk off the finish so a lot of the dirt on the surface will get carried off and won't contribute to your spotting. By using your mitt and soap you'll get pretty much all of the loose dirt off and it will rinse away. But you'll still have the water itself and whatever came with it.
By adding the surfactant to your water you now have a mixture of water, surfactant, dissolved minerals (calcium. magnesium, salt, sulfur, ...) and maybe a few other things, CO2, chlorine, etc. Those are in the water already and when the water, CO2, chlorine and other volatile molecules evaporate all those solids are left behind. That's what water spots are.
PC.