I know how boost converters work but reading your great explanation made me realize how similar they are to an impact wrench. Ever wonder how an impact wrench creates such massive torque?
Spin up a fly wheel then let it hit the dogs greatly amplifying the torque through stored kinetic energy similar to an inductor being dumped.
https://www.youtube.com/watch?v=xQzqNnWG21s
I always like how electricity can be compared to mechanical and hydraulic systems, it's not always perfect but there is obviously a lot of overlap between voltage, current, pressure, flow, torque and rpm. Power is the common thread.