Doesn't a 350watt motor have to work harder (and generate more heat) to reach 28mph than a 1500watt motor?It seems you are trying to prove a theoretical point, but why bother when it will never happen in practice? If you are serious about owning a powered bike, best to stick the real world situation.
Here's a real world example giving the combined knowledge of the best European manufacturers and countless buyers:
The S class of pedelec was originally only allowed a 250 watt rating for it's permitted 45 kph (28mph). This proved insufficient so the German government where the S class originated upped the allowed power to 500 watts.
The makers all promptly launched 500 watt versions, but they've nearly all disappeared since, with most now being 350 watts. That's because both makers and customers found that to be the best compromise to achieve the speed without unnecessarliy losing range due to the higher 500 watt power.
That's it in a nutshell, more power means higher consumption in practical situations, as others have said above.
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Isn't a 1500watt motor underperforming at 28mph and therefore is less stressed?