Unfortunately, each of the examples is using different subjects, different camera-to-subject distances, and different levels of lighting. Thus, comparison is impossible.
I use the Lumiquest Promax System which provides the 80-20, the inserts, and a translucent cover that emulates their dedicated mini soft-box.
In my opinion, the soft-box option is only useful for very close-up work. Why? It's because of a simple fact. What makes "soft" lighting is the effective size of the flash source. Light reflected from a nearby wall and/or ceiling is going to have a much larger effective source size when you have some distance (say 10 feet for example) between the flash and the subject than the little soft box. At 10 feet, there is not a whole lot of difference between the effective sizes of a bare flash and the little soft box. At two feet or less, though, the little soft box starts to become effective in providing a soft lighting because its relative size is larger when close up.