The question isn't whether a 5.56mm will kill them - as you say, a .22LR will do that - the issue is how reliably will it promptly disable them so they can't shoot back.
Other things being equal, and leaving aside CNS shots, the effectiveness of a military rifle bullet depends on the size of the wounds inflicted. The size of the wounds depends on three factors:
1. Bullet size and weight.
2. Bullet striking velocity.
3. Bullet design: how fast does it tumble, and does it fragment?
The 6.8mm has a bullet which weighs 50% more than the 77 grain Mk 262, and has 50% more frontal area. It also has 75% of the weight of a 7.62mm, and 80% of the frontal area.
The striking velocity of all three bullets would be fairly similar.
The Mk 262 and the 6.8mm normally tumble quickly and fragment out to all normal rifle distances. The 7.62mm tumbles slowly and doesn't fragment at all (unless you get the German ammo).
So to sum up, the damage inflicted by the 6.8mm is likely to be very close to that of the 7.62mm, and around 50% more than the best 5.56mm loading. Sounds to me to be an advantage worth having, without incurring the weight and recoil of the big 7.62mm.
Tony Williams: Military gun and ammunition
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