As KGB pointed out regarding the PwC, sometimes the lines get blurry on the topic of "cleaner waxes".
1Z (consumer) Ultra, Paint, and Metallic polishes (let alone Wax Polish Soft) contain enough wax that they are "cleaner waxes", but they do a great job. VM could easily be considered a cleaner wax, and AIO and SRP are sorta synthetic versions of it too.
And as Mosca pointed out, you can get pretty good results with even OTC cleaner waxes. Back in the day, the combo of a cleaner wax topped with a "straight" wax was a pretty good way to go for a quick detail job, and it still works well today; note how popular AIO + [some carnauba wax] is.