Electric superchargers can work, but you need a very strong electric motor, more powerful than the 12v system can deliver probably; you'd definately need an extra generator/alternator..
And its pretty much impossible to make such a system cheaper than a conventional supercharger, as the extra generator/alternator and electric motor will be added to the supercharger you already need.
Also a supercharger is a bit more than that pressed steel propellor you see in that plastic housing
If there was a cheap alternative, companies like ESS, Gpower, VF etc would have found it as they are specialists on making supercharging kits
I can even imagine that in a high perfomance engine an ebay kit like that can even lower the HP when it restricts the airflow going into the engine (when it cant keep up with the flow).
And it probably gets fitted in front of the MAF. The MAF needs to see a laminar flow and this is more like something that makes the flow turbulent, which can make the MAF malfunction. And that could in theory ruin your cat. converter, lambda probes and even exhaust valves.