Mopar P-3690732 Constant Voltage Regulator

I heard without it running the electronic ignition you could burn out the control box then I heard you could boil your battery.
Well as far as boiling the battery goes only if you're asleep at the wheel.
You have an ammeter in the instrument panel. If the battery is drawing more current than it should for any reason, including system voltage too high, you'll notice the battery is charging all the time and/or at high rate. So there would be one clue that something is wrong. Put a voltmeter on the battery with the engine running and see if the system voltage at the batter is too high. Another would be the lights - any lights - will be extra bright. If the voltage is very high, some will burn out. So there would be another clue.