I have always used Meguiar's and have even been sponsored by them in the past (and trained). I have their new stuff but haven't used it as I still have other bottles to work through so I won't argue that it is, I still can't see recommended ever doing it in direct sunlight just "because."
He obviously did not have a "clean" finish to begin with and should've used the clay before waxing. If there are contaminants on the clear coat the wax will stick to those instead of the car.
And I agree with Aero, I would never let anyone use dish soap on their car, I shuddered when I read that!