Good ideas with the motor testing. My results:
Option A
Yeah, I have no idea what I'm doing... My multimeter says each of the three leads are all shorted together, but I dont know if thats normal. I can't really test the resistance since my multimeter basically says 0 resistance, I guess I'd need a milliohmeter?
Option B
I disconnected my motor from the ESC and spun the wheel (still connected to the belt/motor). It doesnt exactly freewheel, I can't spin it by flicking it with a finger there's too much friction for that, but neither is it difficult to spin. It turns roughly how I would expect a belt driven assembly to turn though. (Is that normal by the way? I recently got to play with a Boosted board, and there's definitely way less friction).
Then, with the motor still disconnected from the ESC, I touched the leads to one another and spun the wheel. Now there's definitely way more resistance, and it definitely feels like some EMF effect, it kind of has that characteristic non-linear feel where the resistance is very low for low rotational speed, but kind of "hits a wall" and when you try to spin it quickly.
So good news! It doesnt seem like the motor is totally shorted.
That said, I just plugged it in again, ran through the exact same testing sequence as in the video, and started to smell something "hot." And then I saw whisps of smoke coming out of the motor... So yeah, thats not good...
I then ran the motor through tests A and B again, its still behaving the same way. But clearly something's wrong hah!
Given the smoke, I'm pretty sure its not the transmitter batteries on this one
I didn't know the number of beeps the ESC makes corresponds to its perceived cellcount... that's kind of cool. Anyway, I disabled the ESC LVC cutoff right when I got it, so I'm pretty confident that's not a problem either. I've been keeping it plugged into a battery voltage alarm which has yet to dip below 3V.
So at this point, I'm really confused. I still think its likely a motor issue, given that the ESC starts up fine, shows no damage, doesnt smell funny when its plugged into the battery with no motor etc. Maybe one of the motor winding wires got pinched or something, so the internal resistance is super high? I'm totally out of ideas. I may try to bring it into a hobby shop and see what they think.