I wanted to give a quick update. I was tracking the JAL awards over the last week for 330 days out. JAL does have many more awards Sunday-Wednesday for JFK-TYO, having 9 in biz and 1-2 in first. However, Thursday and Friday had less awards: 2 in each biz/first. So if you are looking for seats, especially in biz/first, the day of week travel really does matter.
Luckily I was able to get 2 in first and 1 in biz for my trip on 11 May 2018. Some days the seats were gone within 5 minutes but other days it took longer. When I called AA last night at 8:50pm EDT I received message about bad weather delays in call center and I got a callback at 10:30pm but luckily the 3 seats I wanted were still available.
We are looking to come back on Monday/Tuesday so hopefully more seats will be available as per last week. Good luck to everyone trying to book.