It doesn’t matter.
A little dew on the ground really makes a big difference compared to long dry runs on a sunny day. Water in the sprayer does a fine job of making things wet (just like a little dew on the ground) and is all you (should) need.
Yes, you can feel that soapy water is a little slipperier than just water, but wet anything is a lot slipperier than dry anything. If you need a sprayer for anything more than just wetting it down a little to keep the friction down on a hot and sticky day, a sprayer won’t save you anyways!