The reason I brought this up is that I wanted to try to save a little time in my detailing proceedure. I just tried this on my my new Dodge Ram 1500 and it seem to work out well. I was afraid that I would have marring problems but I used enough soapy water for lube.
I use ONR @8oz/gal as a clay lube so I just spray, clay 'n wipe - sometimes another light spray 'n wipe as/if needed. I don't feel further rinsing is necessary. I wouldn't use soapy water as a clay lube.
I would use a compressor or air hose to blow off the major water so that it does not dry in the sun as you are working on each panel. So I think it is a good time saving step especially if you can work indoors right after your wash.
I wash the vehicle and while it is still wet I use car wash soap and water mixed in a spray bottle as my spray lube. When complete I rinse off the entire car well and then dry.
I always wash my car in my garage so I'm out of the sun as my water is very hard and I get sun all morning and a good part of the afternoon in my driveway.
The only issue I've ever had doing it this way is was potential water spotting but as long as I stay in the garage (or out of the sun) and wet down the car as appropriate in between it's fine.
When claying I wash and dry, use air compressor to blow moisture and other debri from around seals, mist with PBs S&W , clay bar the surface then buff with plush MF to remove residual. I then apply the needed polishes, sealants, or waxes. RANDAL