I haven't blind tested it yet, but I have spent a few months with the Supercharger going back and forth with the stock power brick trying to find my ideal setup. I've been meaning to write about the Supercharger, so even though it's not through blind testing below is some quick impression of it in case it helps. Every review online that I can find is 100% positive, so I might be the first to give a more cautious view of it. All subjective opinions of course.
The TL;DR is that the Supercharger improves the sound stage over stock, and it will provide a clearer base sound. If your existing setup will benefit from more clarity then the Supercharger is a definite upgrade. If your setup is already as clear as you want it to be, then the Supercharger can push the sound into lean or sharp territories. So while the Supercharger is capable of providing a better sound than the stock brick, consideration is needed as to what your end sound will be.
A little more detail is that the sound difference between stock and the Supercharger is noticeable, it's not subtle. Compared to stock the Supercharger opens up the sound stage further in all directions, and takes away any muffled or overly warm tones to make everything sound clear (not brighter as all natural tones are still present, just clearer). The sound stage should be a positive change in any setup, with better spatial details and a more realistic sound. The clearing up of the sound may or may not be a positive depending on your setup. If you are like me then you may be using some some Silver or Rhodium in your cables to add clarity at the expense of leaning out the sound. In adding the Supercharger to the mix the Burson will become clear by default, where any Silver & Rhodium in the audio cheain will further brighten the sound into a lean & sharp territory. When I added the Supercharger to my setup the sharpness was unbearable, but I could tell that if I could remove the sharpness the end sound would be improved over stock. I ended up going back to the stock power brick and tested different headphone cables through trial and error until I found the right ones that would synergize with the Supercharger (Single crystal OCC wire and gold connectors in my case..). Aside from Silver cables I'm also using Sonic Imagery 992/994 op amps which add a good deal of clarity compared to the V6 Vivids, so you may have better luck in just adding the Supercharger to your setup without the need to change anything else. So in the end being able to use the Supercharger will depend on your setup. It's more capable than the stock brick, but you may have to change around some things in your audio chain to incorporate it.
