Burned bulk head connection

Yes.
Originals are an open barrel terminal that uses a second crimp to hold the insulation and provide some strain relief.
Pictures here. 1969 Dodge Dart - Engine Compartment Main Bulkhead Connector

It looks like factory air conditioning in the photo. You may find the engine slows just enough at at idle with the A/C running that the alternator can not generate enough power at 14 Volts. If so, the battery will start to supply power and you'll see the ammeter swing to discharge. A/C equiped cars usually got a slightly higher rate alternator. They also had a different pulley set (Crank, water pump, alternator) so might spin a little faster at any given engine rpm.