Absolutely, a lot of damage, and those velocities are close to correct. To get 3251 fps from a .223 or 5.56 you’d have to use a light bullet or a hot handload, I believe. In the energy formula e=mv2, energy equals the mass of the projectile times velocity squared, so the fact that velocity is squared indicates how important it is to energy. The old maxim is that if you can get a grain of sand moving fast enough you can obliterate an elephant.
Now, to the AR-15 round and tissue damage. As far as centerfire rifles go, the AR is no big game rifle, in fact, very far from it. It is illegal to deer hunt with in most states out of consideration for the animal. It is a 22 caliber rifle which will propel a small bullet at good speed and great accuracy and has desirable battlefield characteristics such as being able to easily carry a 300 round load due to the small size and weight of the rounds.
But, if your question arises from some fear of the AR round being some sort of mystical killer, that is far from the truth which is why the military recently selected a replacement round. The .223/5.56 just doesn’t get it done compared to newer loads. And any hunter in a deer stand is carrying something that will impart far greater wound profile than the smallish .223/5.56.
Edit: the AR bullet speed, normally 2900 or so fps, compares to most other centerfire rifles faster than some, slower than others. The difference is in the size of the projectile and the design. The AR uses a measley 55 to 75 grain bullet while the infantry and deer rifle .308 commonly uses a 168 grain bullet or even larger. The larger diameter allows more creative and deadly bullet designs. Much more. .308, the military 7.62X51, is only regarded as a sort of mid-range killing tool and has been largely replaced as a sniper tool by calibers such as .300 Winchester Magnumm, .338 Lapua Magnum, and others. The scale keeps going up to the .50 BMG, which is about the largest shoulder fired rife. Its projectile is 10 times the size of the AR’s.
In the overall scheme, the AR is pretty puny, but there are many dead people who might disagree.