Yes, Dinner. My suggestion: after takeoff, stay awake for several hours, eat the first meal, then go to sleep...that way, you can start adjusting right away to Asia time. 1:00am departure from LAX would be 5pm local time in Tokyo. That would mean the meal after takeoff would be timed to be Dinner in Asia. Then, the pre-arrival meal would be Breakfast, even though you would land before 5am local time.

(Actually, this timing is not as odd as the 2am departures from the Middle East, which are timed to be good arrival times in the Americas or Asia.)