its really not that wrong.
its usually the motor manufacturers ratings that are wrong really.
the manufacturers website says 500w....so i assume a 500w controler and a 500w hub motor. but i suppose the motor could handle more power.
that is why i said "at its rated voltage" and "around 500w"
what i kinda did that was wrong was not mention that also applies a lot moreso to the chaps exsisting "500w" controller.
if the lead acid could provide the 500ish watts the controller was asking for swapping to lithium you wont see much difference either as a result.
there is potential that swapping the controller for say a 72v 1000-2000watt unit....would most definately yield results in torque/acceleration. but i wouldnt be so sure about a drastically higher top speeds.
for 40-100quid its worth a go. would give it the performance to match the looks. these work great. a 1000w unit should roughly double torque, 1500w triple and 2000w quadruple.
https://www.ebay.co.uk/itm/48V-72V-1000W-Brushless-Motor-Controller-Electric-Bicycle-For-E-bike-Scooter/391045522309?hash=item5b0c212385:g
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https://www.ebay.co.uk/itm/48V-72V-1500W-Electric-Bicycle-Brushless-Motor-Controller-For-E-bike-Scooter/392028785293?hash=item5b46bc8a8d:g
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https://www.ebay.co.uk/itm/72V-2000W-Electric-Bicycle-Brushless-Motor-Controller-For-E-bike-Scooter/392029317457?hash=item5b46c4a951:g:zpkAAOSw9uNa0lRx
they came within 2 weeks of ordering.