No, what the modders do is just disable the velocity dependent power limit on the standard e-bike power controllers. The easiest/hackiest way to do that is to install a pulse rate divider on the tachometer cables - bike goes 30mph, controller thinks it's going 10mph and delivers full power. This messes up the mileage counter and is trivially easy for the cops to spot, but it'll work.

> The power levels required to push a hybrid bicycle to 45mph is north of 3000W

Yeah, 45 mph is hyperbole. 45 kph is very easily doable on a standard 750W e-bike motor with <$1 of additional electronics. At that point it's all aero, so going even faster is mostly about rider position and bike geometry (those scooter looking things are going to be slower than a proper bike on 29" wheels).