The white wire on the controller is technically not a ground like you would think. The stud the white wire was on is the negative terminal of the glowplug relay, and the white wire hooked to that stud leads into the brain of the controller.
So to activate the glowplugs via the glowplug relay, the brain does ground this negative relay terminal with the white wire. Same as putting a manual pushbutton in the same location to ground this terminal and activate the glowplugs. If you ground the white wire terminal all the time, the glowplugs would be on all the time.
I do agree this connection should have nothing to do with the alternator charging.
So to activate the glowplugs via the glowplug relay, the brain does ground this negative relay terminal with the white wire. Same as putting a manual pushbutton in the same location to ground this terminal and activate the glowplugs. If you ground the white wire terminal all the time, the glowplugs would be on all the time.
I do agree this connection should have nothing to do with the alternator charging.