The tool came today. I tried it like in the photo, but I still couldn't shift it with just the tool, so I heated up the BB area to just too hot to touch and tried again, then it went easily:
I've done a trial fit with the new crank-set, which looks so much better than before. I removed both inner rings because I don't want to fit a derailleur and I'm pretty sure that I'd never use them unless my battery went flat. 48T/32T on a bike with 20" wheels is approximately equivalent to 36T/32T (middle ring) on a bike with 26" wheels. I had to use spring washers as spacers to make the nuts fit.
Now I have to make a decision. I have a ready-to-go Q100C that's 328 rpm, so perfect for a 20" wheel at 15 mph. It doesn't have a speed sensor in it, so I have to use an external one. Also, it's a real struggle to get it into the frame because of its width and the frame stiffness. I also have a bare 280 rpm AKM100C, which has a speed sensor in it. I've ordered a rim, but have no spokes yet. It's surprisingly a little narrower than the Q100C and goes into the frame more easily. At 36v, it'll max out at 16mph, but power will ramp down from about 13 mph, but it'll be better at climbing than the 328 rpm one. It also gives me the chance to go up to 48v later for more power and speed if I want it. I'm thinking that the 280 rpm one is a better option, though more work and time to sort out, plus it's marked 250w. I'd have to make a label for the Q100C.