I've found it really helps make tillering, and tapering, easier. I usually use white woods with tempered bellies. I've had really strong bows that had flat bellies stand well tillered for a while, but due to poor tapering (an artificially flat belly on a naturally curved stave) they would later develeoped horrible frets to the point of popping pieces of wood out. The only way to have helped prevent such over stress would have been to widen the limbs, and wide, flat limbs are a bear to tiller. Due to poor tapering, a bow quickly became jsut a wall hanger.
I also have a theory that rounded/radiused bellies, that they aren't nearly as bad on slightly offest limbs. I had two flatbows with slightly offset limbs develope frets along the edges, even when slightly rounded off. I haven't had such problems with rounded bellies.
Helps with tapering, and so long as you aren't overstressing or too quickly tillerign them, they won't give you problems. I haven't had any problems with speed either.