Thanks, I wondered how that compares with my aotema so I could say which 400 series clyte it is similar to. I've been guessing a 407.
I just realizied we never really answered a question. Volts, and amps do affect efficiency, and those really interested should play with the simulator on the ebikes-ca website. But in the real world of how deep is your wallet, how do I carry this thing, how far do I need to go, other considerations far outweigh the impact of small efficiency differences. You do want to choose the right motor though, for the job you are doing. The closer you are to having a motor that runs at full throttle at the speed you want to go the better. Particularly you don't want too fast a winding, like a 405 if you will be going real slow up a hill all the time. Nor do you want a 4011 if you are going to ride 25 mph on flat terrain. The 407 or the 408 are good compromise sizes to do both. In general, the 4011 would start up better, while a 405 would lug a lot till it got going faster. So for stop and go, a real fast motor is not so great. The gearmotors have an advantage since the gearing lets them run at faster speeds which allows a smaller motor to have more power. They may or may not be more efficient, depending on how they are ridden. The rider is the real variable in efficiency in my opinon if the motor is not badly mismatched.
But back to the volts and amps, To go farthest, the biggest battery readily avaliable goes farthest. A 48v 20 ah simply has more battery weight than the 36v 20 ah from the same vendor. 48v will go faster, but to get the most range out of it, you have to ride slower than it's top speed. So if a 36v battery at full throttle is more efficient than a 48v battery at the same speed, the 48v still goes farther since it is simply bigger by 25% .
On the amps side, a higher amp controller will start faster, and use more power then than a lower amp controller. So the most efficient setup for flat gound would be a low amp controller. Kinda like a brick under the cars gas pedal will improve mileage since you can't floor it anymore. For hills, though, you may need the higher amps to get up the dang hill without lugging the motor down to too slow a speed where it runs with horrible efficiency. Again, this is where the gearmotors have an advantage, they can still climb a hill with a lower amp flow, though slower. The gearmotors are just harder to lug down.
On the other hand, in my opinion the easiest battery to find a box or bag to carry it in is the 36v 20 ah since it is a perfect size for many rack boxes and bags, and weighs only 15-16 pounds. The 48v 20 ah is a bit heavy for a seatpost rack, and can be top heavy if carried high enough.
15mph seems to be the speed of choice for those who need extreme range. It's slow, but not slower than pedaling an ordinary bike by too much. 20 mph is a good compromise, and some motors, that is top speed at 36v. Above 20 mph, wind gets much more costly in range. Wind resistance is exponential, so the cost of every mph more is more than you think.