So the charge light is coming on when you ground the white/blue wire? All that says is that the light on the dash works, because that wire doesn't have anything to do with the alternator function. It's just an indicator.

I'm guessing that there is either a problem with the ELD, which means you need a new fuse block, or there is a bad connection between the ECU and the alternator or the ECU and the ELD. Those things could affect whether the alternator is getting controlled by the ECU properly.