Overall, as I discussed above, the Cooper AT3 is a better tire on dry and wet roads, in terms of traction, fuel winter and comfort performance. The Pro Comp A/T on the other side, with it's greater number of biting edges yield superior off-road grip. Though worth reminding, both tires show up with similar tread wear life.
So it all comes down to this. You may want to get Hankook Dynapro ATM, if you want a better on-road tire in terms of grip, fuel usage, and comfort (quieter ride). Otherwise go with General Grabber ATX. This tire comes with superior wet grip, tread wear, and off-road traction.
Overall its safe to say that both tires have their good and bad. The Kenda Klever AT2 gives superior wet and winter grip, and off-road its better on rocks and mud (mild terrains). Whereas the Cooper AT3 does better with comfort (in terms of noise mostly), and its brings superior tread life. Moreover off-road, you'd be impressed by it's much better sand traction.
The Hankook Dynapro AT2 does better on dry roads, in terms of traction (comes with higher speed ratings), and comfort by offering a much quieter ride. Moreover the tire is also more fuel efficient despite having a greater weight. The Grabber ATX on the other side, supply superior, wet traction, tread life, and overall off-road performance.
So overall, keep in mind that, if you are mostly traveling on wet roads, you should consider Cooper AT3 here. The tire would also provide superior tread life, and is better off-road here in comparison. The Kumho AT52 on the other side, is great when it comes to winter traction, dry traction, and fuel efficiency.
So overall, it comes down to this. The Hankook AT2 is a better tire when you consider, dry on-road traction, tread life, and overall comfort (in terms of noise). And on the other side, the Cooper Discoverer AT3 is superior on wet roads, fuel efficiency and provides better off-road traction especially on softer terrains.
So overall, we saw here that even though Cooper AT3 is good with directional grip, the overall on-road performance (dry), is seen better on Hankook AT2. Moreover, the tire also does great with tread life, and winter traction. And off-road its great with rocky terrains, with its 3 ply sidewalls. The Cooper AT3 on the other side, does great on wet roads, fuel efficiency and comfort. And off-road its a better tire to have on sand.
So let me conclude all of it here quickly. The Mickey Thompson 38 AT provides superior dry grip, and is great off-road on muddy terrains. Whereas the Cooper AT3 does better with wet grip, comfort, fuel and tread life, and off-road, yields superb sand traction.
Overall it all comes down to this. Cooper Discoverer AT3 4S although gives you a great wet traction, and tread life, it lacks in fuel economy and on-road comfort (in terms of noise). BF Goodrich Trail Terrain on the other side, does well, with the rest, but wet traction, and off-road it's great on all terrains, but lacks in mud, comparatively. Note that this is the short summary, if you are skipping on the above explanation, there's a lot of stuff you are missing out on.
So overall, the Cooper AT3 is a better pick for pavements, roads, and highways, both in wet and dry environments. This is because it provides better traction (grip), steering response, fuel economy and tread life. The General Grabber APT although is good enough on dry, really lacks on wet roads, but it's a better tire for off-road use, in nearly all types of (mild) off-road terrains.
Goodyear Wrangler All-Terrain Adventure is better tire to have for highways. It's yields slightly better grip and handling efficacy in both wet and dry environments. Moreover, the tire is also better with fuel, tread wear and on-road comfort. Cooper AT3 XLT on the other side, does better off-road on all types of terrains, including sand, rocks and even mud, thanks to it's powerful sidewall lugs.
Out of both tires, the Mickey Thompson EXP yields better results when it comes to mud and sand traction, it features longer tread life, and you'd get better comfort on roads as well, here. On the other hand, the Ridge Grappler provides superior rock and snow grip, a quieter ride, and a better fuel economy. Other than this, both tires have similar traction values on both dry and wet roads (well, there's more to it, as I've explained, but for sake of summarizing, it can be said).