I'm frequent flyer of EVA and I love 747-400, if EVA switches to 777, they'll at least lose me as a frequent flyer to Singapore Airlines which have at least 10 A380 orders confirmed, as well as new versions of 747 called 747-400QLR orders planned, any of those 2 aircraft will beat 777 any day.
Besides political pressure, one reason of 777 popularity is economics, it costs less to operate this aircraft and airlines can cramp the same number of passengers in a 747 into a 777, thus saving money.