I operated on the A model C-130, and we started 1, 2, 3, and 4 in that order. If we taxied on 2 engines, then 2, 3, in that order. We also operated our GTC until takeoff, it had no doors, and we had no limitations on operating it in flight, if necessary. Our A models were not the same as yours.
We had different motors, different propellers, a GTC upgrade, and other significant airframe differences and modifications.
On the 747 we operate 1, 2, 3, and 4, save for occasions when we taxi on only the inboards...in which case we do 2, then 3.