hERBIE,
I am not a Pro so take this advice with a grain of salt. I do feel however that I can offer sound advice in this area.
Physics dictate, if all else is equal, that a flat profile (thin to win), will be faster. This is simply because less air molecules need to be "pushed" apart with the thin design. If you are willing to use tungsten for weight, then there is no question that a thin car is faster.
If you are using lead for weight, then the issue is not quite as clear. A properly executed wedge car can win most dens, and even pack races. However, once you get to districts, the competition is tougher and therefore the thin design is more beneficial.
I am a bit of a glutton for punishment, so we built 6 cars for the open district race last year. Two of which were wedge designs. (I was working on a design for our scout workshop for this season) . The two wedge cars finished behind the 4 thin cars we had, but they both were slightly faster than all of the other cars including some well built thin cars with weight reduction. It appears that at least 4 of this years workshop cars are of the wedge design. Time will tell how they run.