can the starter button, keep the starter engaged, when the key is shut off ? curious.....
No. In the starter circuit when you turn the key on it feeds the neutral light and the open starter switch. With tranny in neutral the circuit is: key switch, neutral light, thru diode to ground thru neutral switch. Starter switch get power but no circuit until pressed. In the TO START the circuit is: Key switch, pressed starter switch, starter relay, thru diode to ground thru the neutral switch.
With tranny in gear the neutral switch opens killing any path to ground. Power still goes to one side of light and starter switch and stops there as there is no path to ground.
When you turn the key off, power goes from battery to key switch and stops there.
Clear as mud. LOL. Hope I’m clear.
In this case the starter works normal for 1-10 minutes. Then starter engages and cannot be turned off until he disconnects the battery. For that stater to engage, the relay must activate. It connects the battery to the starter. For the relay to activate it needs battery power in and a path to ground. Mechanically the relay is spring loaded off, I think, and electrically activated on. Just an electrical mystery my opinion.