Thanks guys. I think I may have misread the sinew chapter in TBB v.1 where Jim Hamm says, "I never pull a bow which is to be sinewed until the backing is on it. Pulling a bow stresses the wood, giving it a greater or lesser degree of set, which tends to counteract the effects of the sinew."
He goes on to say, "Since the sinew is what allows a shorter bow to be made, it stands to reason that pulling it before backing is just asking for trouble. Trouble as in a dead bow. It is acceptable, but not necessary, to mildly floor-tiller the bow before backing in order to bring the limbs into approximate equilibrium."
I would have been fine if I hadn't wrapped the tips, thereby making it impossible to remove wood there once the sinew had cured. I guess I was too afraid that if they weren't wrapped the sinew would separate from the back of the bow during tillering.