Right, but the real question is...

Will the engine start on it's own when in neutral if it was not previously running? And even if it does, what good does it do? Why would it even
bother to start the engine if it has no work to do? It can't propel the car, it can't charge either battery, it can't "do" anything worthwhile. So I doubt it would start it.

It gets late early out there. - Yogi