Ignition switch power interruption from run to start

A cap may help, but needs charge time. A quick startup might not provide enough time.

I have a feature to in my ecu to run fuel pump couple seconds, and then shutdown if no engine crank. It purges fuel system. I can tell by sound of fuel pump. If haven't driven for months, will give second prime.

It might be fuel related. That is one reason to use scope for trouble shooting.