You've been given a free jug of Ultimate Wash & Wax? Ty all means use it on your car and see how it works for you and report back the results.
I've used it three times so far on our cars. UW&W seems to clean just fine, and it's fun to watch the water sheet off. I still haven't decided how it compares to the other washes I have used.
In order to get the benefit of the wax, you need to let the shampoo sit on the surface for 30-60 secs before rinsing off. This has required me to change my wash routine just a little bit. I now wash several panels more before I rinse off. But don't let it dry on the surface, though! Also don't use high pressure when washing off. You don't want to wash off the dispersed wax that is starting to adhere to the paint surface.
UWW does seem to leave a little extra gloss behind, but I'm not sure if it's worth the extra money one pays for it. But I got my jug with a $5 rebate, so that made it economical for me. My car water spots very easily, given the minerals in our water, so I always have to wipe down the car with a quick detailer after I dry the car. I wonder if any of the dispersed wax from the shampoo survives a quick detailer wipedown. I would doubt it. Ultimately, I just want a shampoo that will clean well and rinse off clean. After this jug is done, I'll probably go back to one of my other shampoos.