FE/FC FE501 Bumpstart Capacitor with Kickstart Kit

Been trying to research this with little luck. FE 2017 501 does not have a bump start capacitor and I was considering adding one. However if the lithium battery goes completely dead as can happen with lithium, then it won't have enough juice to charge the capacitor correct? So, I was considering purchasing a kickstart kit. Does anyone know if the stator will charge a bumpstart capacitor when kickstarting?

Slaven's racing has a video about it that might answer your question better than I can, but as I understand it the capacitor doesn't need to be charged as much as it needs to be there to remove voltage spikes that confuse the ECU.
Link to video.

Carrying a spare battery is a simple solution. It doesn't take much of a lithium battery to start a motorcycle.