i may be wrong here- but i thought an electric shower & power shower were the same- except that the power shower had a booster pump in it.
No, at least not usually. Technically, there's no reason why the two could not be combined in a large enough unit, but I don't recall ever seeing such a combination shower, either "in person" or in manufacturer's catalogs.
The distinction between the two types:
#1. Contains a big electrical heating element, anything from 7 to 11kW, and is connected
only to a cold supply, which will be direct from the incoming high-pressure "mains" (city water supply).
#2. Contains a pump, but does
not have an integral heater. It's connected to both hot and cold from the regular household system, usually gravity fed from the tank in the attic (hence the pump to increase the pressure).
So this second type is essentially the same arrangement as a conventional mixer shower with a separate auxiliary pump, it just puts the pump and mixer together in one unit.