My preference is for weight intergration but for a different reason. With a weight belt /BC combo there 2 connections to your body one at the waist (weights) and the other on your upper torso (BC). These 2 forces oppose each other and you constantly find the BC riding up (or down) on you when ever you transition through a vertical position. With weight intergration, both attachment points are on the BC so it does not tend to shift. The BP/wing combo avoids this problem by shifting some of the weight to the BP (a form of weight intergration) and using a crotch strap. I find BP's somewhat uncomfortable and a pain to adjust, otherwise I would most likely use one. My preference in BC is a back inflate with intergrated weights.
As for a weight belt giving better dist of weights, well that's true if you are talking about around your waist, trouble is that you actually want to be able to distribute weight at several different points to adjsut trim. If you have the desire to become a diver with good trim as well as being properly weighted, then whatever BC you decide on needs to have a way of placing weights on the back side of your BC, somewhat higher than your other weight, be they intergrated or belt.
As for a weight belt giving better dist of weights, well that's true if you are talking about around your waist, trouble is that you actually want to be able to distribute weight at several different points to adjsut trim. If you have the desire to become a diver with good trim as well as being properly weighted, then whatever BC you decide on needs to have a way of placing weights on the back side of your BC, somewhat higher than your other weight, be they intergrated or belt.