said that 40 pounds would accelerate a 40 pound arrow at 32.16 ft/sec/sec now you are confusing distance with acceleration. I'm sorry but this discussion just isn't going anywhere.
OK after re-reading you were infact referring to acceleration but the same argument is valid regardless of whether you were referring to acceleration or not. You still can't assume that a bow that is 40 lb pull will launch an object at X speed because there are other variables involved. Also, either way it's still a function of the amount of energy that the bow produces because you are making reference to speed and we know what the weight is so what does that give us when we plug in the numbers? Yep, you guessed it. So either way inorder for the two different bows to launch an object of identical weight at an identical speed then they would have to be producing identical amounts of energy, wouldn't they? Either way your blanket calculation isn't valid.