I've made a lot more bows with the lam showing under the glass as a full thickness lam than I have thin veneers.
Elm lams and many others are a dime a dozen, and not worth the trouble to make thinner. I have a bunch of really nice looking flat sawn red elm stashed. I generally use quartersawn wood for the inside, and flat sawn where visible under clear glass... and they may all be from the same board, just sliced off different sides, or different boards cut flat, rift, or quarter from the same log.
I do have some very high grade figured woods, like the extreme birdseye sugar maple I got recently, that I will slice and grind thin in order to get as many bows as possible from them. I don't know if I'd use bamboo inside though, since I have plenty of plain, quartersawn hard maple I could use on the inside. Who knows... whatever feels good at the time