Being a LIer, they used to be happy accidents when I would go snapper fishing nearly 20 years ago. But to this day, they stay cyclical (as said above) and you have to literally FOCUS on catching them for a day if you really wanted a hook up. I remember banging away on them hard using a 1/2 oz. red and white bucktail in the great south bay all those years ago.
I really miss them, put up a great fight and such a gorgeous fish (delicious as well). If I had known they would've been this rare, I would have taken pictures.
For those who want to see an interesting video, John Skinner accidentally hooked into a few and was fortunate enough to have his video camera handy...