Never heard of an "ETOPS Override", only "International Override"
I've flown for 3 airlines that flew international, including crossings. Two paid an International Override, and one didn't pay squat. One was 7 bucks an hour, and the other is around 3.50 an hour (been a while, I forgot exactly).
Never heard of an ETOPS override. Why would it matter if you are crossing in a twin, or a 3 or 4 engine AC?