RNeumann,
yes my floor has a vapor barrier but I don't see how it helps or hurts with regards to pulling the radon gas out. it's more about having good air flow though loose stone. I used crushed stone with a fair amount of chip and dust. It compacts nicely. If I had used a one size stone such as #5's, 3/4 inch stone, air would flow unrestricted.
I'm an engineer so I'm looking closely how the systems work, or don't work. A simple approach likely works in most situations. I know my layout is unusual with a 30 ft by 30 ft footer system inside a 54 foot by 70 ft footer system. With a suction point with access through the slab, it's 90 feet to the far reaches. let alone the isolated 30 ft by 30 ft area.
Reading detailed plans, even suction can be an issue. For example if a large crack is 1/2 way between the far wall and the suction pit, there can be little to no suction against the wall. Further, there are some references that state caulking along walls prevents a source for the air to allow the Make up air in. All big cracks should be filled otherwise that will be the main draw point.
Theoretically, if a slab has no cracks and is sealed to walls/footers, the fan would not draw any air out. And, the radon would still migrate through the slab.