I think we tiller bows the way we do to be able to store enough energy without damaging the bow.
What I mean is this: if bows were tillered as you said (supported directly on the arrow rest point, and drawn exactly on the nock point), you should draw them like that in real life as well, to get the maximum energy of your bow. But in real life points don't exist, only surfaces. The thing is, that you're in some extent "obliged" to draw a bow with your hands, which means that you can't draw it the way you'd tiller it and you have to take this fact into account as you tiller a bow.
To sum up, we DON'T tiller bows the way you mentionned, cause in this case the shape (tiller) of the bow as you draw it (with your hands) would be hinged or at least uneven and less energy would be stored in the bow. Of course once the string is released, only the force applied by the string (via the limbs) matters, but this force is directly linked to the energy stored in the bow wich is determined by the way you tillered and then drew the string.
I hope it's clear enough
BenBen