As far as velocity: one thing we forget is draw length. Wiki points out: the reason crossbows need a crank is because they typically have shorter draws than regular bows. Work = force * distance...force is draw strength, distance is draw length. So if you want the same power OUT of a crossbow with shorter draw, you need to have a higher draw strength...and therefore the crank.
But as we've said: the above discussion is trying to remain grounded in reality.

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