I'm by no means as experienced as some of the other guys on here. But of the 20 or so osage bows I've made... It was the thinner ringed stuff that has held the most reflex and made the fastest shooters.
Don't get me wrong. I like it all. Thick, thin and anything in between
I'm finishing up one now that has rings about half as thick as a dime, with lots of early wood, but It's holding over 3" of reflex and is the fastest bow I've ever made.
If I could choose. I would prefer between 1/16" to 3/16" for the late wood.