Raamjet and Sky 9 have a I point. Almost all US Carrier Long Haul is now 777/767 based-the exceptions being UA who still operate 744s across the Pacific and occasionally to Europe
On the other hand non US carriers LH BA QF KLM AF JAL KE CX VS operate fouir engined aircraft which if the general expert opion on this topic is to be belived do provide the extra redundancy to allow continued flight to destination or a convenient alternate. That would be something of a commercial disadvantage to AA CO DL UA who are almost entirely ETOPS.
So perhaps the FAA have forgotten about the reasons why for decades long range over water ops was with more than two engines and not that the FAA would ever favour US over foreign aviations interests.