I can see that working. You'd probably have to make sure you have it wide enough that when strung, the main string doesn't bind on the stringer.
An 1/8" of wood at the tip is plenty to help hold the stringer in place. It really doesn't take much to hold it in place, since most of the force from te stringer will be perpendicular to the limbs. Working on a heavy persimmon bow that only has that much wood past the stringing grooves and I cut them across the back. It seems to be holding fine for about the 15-20 times I've used them so far. Before heat treating I had it pulling 150# around the 22" mark. the biggest danger to the thin strip of wood, would be how delicate it would be. And how easy they would be to break off by the time the tips are cleaned up much.
Kyle