It's actually slightly more powerful than the corded if you keep it plugged in while using it, because it gets more powerful when it's plugged in and its max setting is higher than the original. The reputation for less power just comes from the fact that it offers much lower settings than the original had, but the max is 300rpm higher than the max of the original.
Definitely the better option IMO. Way more maneuverability when there's no cord in the way and if you were gonna use it wired, it's better for that too anyway.