Here's the most important thing to understand about the stresses wood withstands in a bow.
Almost all wood is 3 to 4 times stronger in tension than compression. The exceptions are cherry, red cedar and probably some others.
The next most important thing to understand is that most wood has almost no elasticity in tension. Yew is an exception. In a tension failure, there is almost no stretching before rupture. Nearly all the elasticity in bending is in the compression wood. So, narrowing the back of the bow leaves it plenty strong enough for the work of tension and does lighten the limbs, allowing a faster return.
On a related concept, backing a bow with hickory or bamboo helps prevent problems with grain runout, but the weakest part, before and after backing the bow, is the belly.
Jim Davis