it is a fact the crossbow is more powerful than the bow.
crossbows also have a longer range than the bow as well.
crossbows are also very easy to aim and shoot
the only reson people still used the bow after the crossbow was invented is a matter of cost and speed.
bows are cheeper and shoot faster.
crossbows are expensive and shoot slower.
Bethesda got there weapon history right on this one.
The fact is video games are to nice when it comes to crossbows, your traditional bow had ten times the rate of fire when compared to the crossbow. But it took years of training and good physical condition to use the weapon. Crossbows first appeared in the 5th century BC, they existed along side the bow for over a thousand years before they were both replaced by guns. If one was truly superior the other would have died. The crossbow was prefered due to economics and geography.
The early crossbow had little to no mechanical assistance to pull back the string, so it was actually weaker then the bow but anyone could pick up a crossbow so it was popular. As the technology evolved the mechanical assistance allowed the crossbow to get more powerful without getting larger. It soon became a weapon of terror because it could penetrate platemail. Crossbows were also better for firing through arrowslits in castle walls so it was the prefered defense during a seige.
The real prime advantage it had from the begining was anyone could pick up a crossbow and use it, once it could penetrate heavy armor it become a common ranged weapon on the battlefield in europe(excluding England), yet it never replaced the bow. A traditonal bowman required years of training good upper body strength(compared to a crossbow). But they had five or ten times the rate of fire of a crossbow. If you wanted arrows to rain down in a hail of death you used a bow.
The bow wasn't cheaper it was infact far more expensive once you took training into account. Even the cost of the bow alone wasn't much less them from a crossbow. And like armor a traditional bow actually had to be sized for your height. Using a medieval bow designed for someone six inches taller then you was a problem. Crossbow didn't care. If you lost a dozen crossbowmen you could salvage the weapons and train some knew recruits fairly quickly. If you lost a dozen longbowmen it was far more expensive to replace. English law mandiated children start training with the bow at age seven just to keep their armies supplied with longbowmen. The crossbow also had a
SHORTER range then the famous english longbow. So it lost out on both range and rate of fire.
Then along came firearms, around the 15th century arming your soliders with crossbows cost about the same as a musket. But the musket required even less strength to use then the crossbow, could actually achieve a greater rate of fire and when you lined up fifty guys and fired in unison you created a wall of bullets so accuracy wasn't much of an issue. The english longbow managed to survive a few decades after the demise of the crossbow but the economics of training longbowmen just didn't make sense so in the early 16th century the weapon was abandoned completely in favor of firearms.
I myself don't really know how to use a cross bow properly but it would still be a VERY dangerous weapon in my hands
That is why the medieval crossbow was deadly, it allowed a lowly peasant to kill an armored knight with a decade of experience.