I hunt with a compound bow, but have shot and helped friends with crossbows. From my experience, they MIGHT be a LITTLE faster, but not enough to make a difference. AND they are a LOT louder. Shoot at a deer at 30 yds (let alone 40-50+ like people are claiming) and see what happens... I'll tell you... gut shot at best. Some might get lucky and actually get a deer that stands still or it's noisy enough outside, but 90+% of the deer will jump the string more than with a compound. It might group great on a target, but on something that typically jumps the string????
Also... I was helping a friend with his brand new crossbow (can't remember the brand but it wasn't a cheap one) with a scope and we couldn't get it to shoot consistently. We looked it over and noticed that one screw on the rail was missing, another was sheered off, and the 3rd was bent. I really want that in the field. They require a lot of torque to get that bolt moving at similar speeds as a compound, since their limbs and axle to axle measurements are significantly less.