My original claim is that with all motors restricted to a legal output of 250 watts it is possible to have a direct drive hub motor produce that amount of power from the slowest riding speed possible, for arguments sake 5 mph. As any crank drive bike is also legally restricted to that same output the motor regardless of gearing to the back wheel will produce no better hill climbing ability.If you put a watt-meter on a hub-motored electric bike, you'll find that power consumption goes up as rpm goes down, such that maximum power consumption is at zero rpm. The same happens to torque, so you get maximum torque at zero rpm; however, maximum power occurs somewhere on the range between half an 3/4 maximum rpm - don't get torque and power mixed up. Torque is the amount of force that will pull you up a hill; power determines how fast you go up the hill. You can have a massively powerful motor that can't get you up a hill because it has insufficient torque.
Our e-bikes never have only 250 watts available, they would be useless if that were so. The 250 watt limit is a legal nicety that isn't strictly observed in practice. Those currently on the market mostly have in the region of 350 to 550 watts of net power available, hub motors typically more powerful than crank drives which have the benefit of driving though the gears.My original claim is that with all motors restricted to a legal output of 250 watts it is possible to have a direct drive hub motor produce that amount of power from the slowest riding speed possible, for arguments sake 5 mph. As any crank drive bike is also legally restricted to that same output the motor regardless of gearing to the back wheel will produce no better hill climbing ability - - - - - - - - - -nor do I believe having a few gears between the motor and the wheel make a bike a good hill climber.