So now it comes down to definitions and how each individual perceives them?
A crossbow most certainly IS hand held, and IS hand drawn.
No....wrong. A crossbow's forearm is held by one hand(I will give you that), but its shouldered like a firearm and is not hand drawn before the shot. Maybe cocked, but not hand drawn or hand held by most correct definitions. Example: Illinois classifies a longbow, recurve, and compound bow as being hand held and hand drawn. Illinois does not classify a crossbow as either. I am guessing that most other states define these in the same way.