if you are going to add extra mass, why not turn it the stiffest way, tip to tip, so that it can help carry its weight?
For almost thirty years I have listened to people say this about clothe backings, but my feeling is that it depends on the clothe used, glue used, and the density of the piece of wood. If you back a bow wood with dense backing such as hickory, oak, hard maple, the density of each slat can very, and so could the weight, and what about the glue? The belly wood could very in density slat to slat, stave to stave.......was it reflexed wood, straight wood, or deflexed wood?
I believe a good bowyer can work with a wood and determine the best route to a finished bow, the debate about durability and clothe backings may be another issue, especially wood with poor grain orientation.