The difference is in how the regulator is controlled. A non-gauge car uses the warning light circuit (Green w/red stripe #904) through the I terminal to energize the alternator field coil, and the stator output (White w/Black stripe) through the S terminal then closes the field relay in the regulator. A gauge car has that circuit, minus the warning light, but it is wired through the S terminal to the field relay inside the regulator, and battery voltage (Yellow w/white dots #36) through the A terminal then energizes the alternator field coil.
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If you want to get into the weeds, download the PDF attachment below. Some of the circuit numbers may not match as the author has a '69.
If the ammeter doesn't move at all, I've sometimes found them to be wired incorrectly. Both the Black w/Orange stripe from the alternator (#38A) and the Black w/Orange stripe from the main harness (#38) must be on the terminal block mounted to the fender apron. I've run across cars where the the Yellow #37C was on the terminal block and #38 on the starter relay - which essentially bypasses the ammeter (#654 & 655)
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