Couple of things to bear in mind:
The Native American bows were intended for hunting first, warfare second. Normally, they had a 40# or less draw weight. The English longbows of Crecy and Agincourt fame were 80-150# draw weight, or heavier. The arrows were, likewise, much heavier than the Indian arrows. (HIstorical note: When the English archers went to Agincourt, they took 144 oxcarts full of arrows, all fletched, and with bodkin (armor piercing) points. That's a metric buttload of arrows!)
When Franklin was making his pitch for the longbow, he was thinking of the English version, not the Indian one. A heavy bow, with heavy arrows
(8-10 grains per lb. of draw weight) was easily as lethal as the Brown Bess musket, and had a greater effective range. (The last deer I took with a bow was taken with a 60# reflex-deflex longbow, using Douglas fir arrows and 125 gr. Magnus broad heads. The total weight of the arrow, with feather fletching, was 585 grains. The shot was about 25 yards, and the arrow landed about 30 yards past the deer. He never knew he'd been hit, continued browsing, and wandered off about 40 yards, where he collapsed. D.R.T.)
And I recall reading that the Tartars of Russia gave Napoleon fits, because they would ride in, loose a volley of arrows (landing them inside the formation of troops) and retreat without getting in range of the French muskets.
The only reason the crossbow, or the musket, supplanted the longbow is because it was easier to teach a farm boy how to use a musket (or crossbow) than to use a longbow effectively.