Pyramid style bows are great for the so-called second string whitewoods, such as: hickory, ash, maple, etc. They're wide at the fades, up to 3" or more, tapering to narrow nocks, to keep limb tip light and fast. They are flat (rectangular in X-section), and this will distribute the stress over the entire width of the limb. A wide, flat limb is strong... optimal for marginal wood. Look at any modern bow, recurve or compound, the limbs are thin and wide and flat. This is the most efficient design, storing the most amount of energy, and releasing it efficiently, as well.
Lots of people poo-poo pyramid bows, and criticize them for poor cast, and being "dogs." However, lots of people also say "oooh", when they shoot a well tillered flat bow for the first time. They also last pretty well, casting thousands of arrows.
Also, like Eric said, don't worry about string follow too much. A bit is actually a good thing. A bow with a bit of set is sweet in the hand, and is soft and quiet to shoot. Set really has more to do with the type of wood, and how the bow is tillered, than how heavy it is. I have a 70# 62" hickory backed osage, with less set than a 35# 68" hickory selfbow. I agree... if you want to sleep at night, insure your home... and back your bow. Cheers!!