Yes, there's a direct correlation between thickness and possible bending radius. that kind of bend is no problem if done correctly: only make it a little thicker than your final thickness estimated.. in the bending section treat the belly as if it was the holy back of the bow: work to one continous ring, sand it, sligthly round the edges, no toolmarks, then: 1 boil (safest method, can't fail) or 2 steam (ok method if done correctly), 3 dry heat (best for slight corrections but risky method for sharper bends). good thing about dry heat is, it locks the wood and the shape, much less creeping back than steam. it also hardens the wood and gives more springyness. some may disagree but my recipe still is boiling for the bend, then dry heat to set the shape on the caul.
cheers