The 6.8 is a fine cartridge. It's beginning to get 'stretched' at 300.
There are published velocities and claims. Like ALL marketing data, its 'embellished". Maybe that box says the muzzle velocity is 2700 fps. In my experience, they usually use longer-than-normal test barrels, say a 24", to plump those numbers up. And the bullet manufacturers like to make sure their ballistic coefficient numbers are "optimistic" too.
Doubletap makes a 6.8 load with a barnes tsx 110 at a published 2710 FPS. That is impressive. IF (emphasis on if) it gets 2710, then that bullet strikes with 920 ft/lbs of energy at 300 yards. Certainly 'enough', and just under the often recommend 1000 ft/lbs for deer. It should get it done, but we are back into the category of "not a ton of room for error". And this is with one of the 'hotter' available loads. If, however, that published MV is optimistic, you'll get less energy. A slightly lower actual MV, and maybe an error in range estimation, and we're rapidly dropping into the 800 ft/lbs of energy category. Again , its enough, but it doesn't have a great margin for error. You are using the cartridge at it effective limit. Essentially, at those longer ranges, the 6.8 is delivering actual terminal numbers (800-850 Ft/lbs) that closely resemble the 30-30 Win at those same ranges.... And fairly few people think the 30-30 is a 300 yard gun.
If you are willing to either be selective at 300 yards, or better yet, keep shots closer to 200-250, you'll see a market improvement in performance. Remember, the 6.8 is a great cartridge and one certainly MUCH better suited to deer hunting than any 5.56, but it still was designed as a close quarters cartridge,
My take: If you want vastly increased performance from an AR platform on deer to moderate ranges (out to 200) the 6.8 makes a ton of sense. If you habitually want to shoot deer at longer ranges, you're going to want something that drives a heavier, longer, more streamline bullet to higher speeds, and you're into traditional cartridges like .260, 7mm08, .270, etc...
Long story short - the 6.8 is a vast improvement over any 5/56 if you want to hunt deer with an AR. If you really want to hunt deer at longer ranges, the AR (traditional, chambered in 5.56, 6.8, 6.5) isn't the best tool.