Rinseless can even be done with one bucket, and SEVERAL towels, never re-introducing a dirty towel to your solution. This is my preferred rinseless wash process. This method was made popular by a detailer in Florida. Search youtube "Garry Dean Wash Method" for more information. There's also a Rinseless wash video on the youtube channel that describes this process well.
I know the Rinseless has a wax addidtive in it, but all I know is whats been said in videos about the new waterless wash having "gloss enhancers" not sure if they're wax based or not.
I will say the last time I did a rinseless on my car, it had a nice freshly waxed pop to it.