From the shooter's perspective, there is not enough perceived difference for me at least between the two, even at 200yds when comparing the 168gr SMK to the 123gr 6.5mm.
That was with my buddy shooting his 26" bolt gun .308 vs. my 16" 6.5 Grendel AR15. When he shot at 200yds just to confirm he was on, the impact on steel sounded just like my Grendel at first. I had him shoot again, and I could barely discern a little bit more bass tone range of the impact with the 168gr SMK.
Wind drift and trajectory will be in the 6.5mm's favor from the start against the .308 155gr A-MAX (.435 G1 BC)
With a warm handload of Varget under the 155gr A-MAX from a 16" barrel, you're in the mid 2500's.
Energy for 123gr A-MAX Grendel compared to 155gr A-MAX .308 on target is:
Yds Energy % Grendel vs. 308 (123gr A-MAX vs. 155gr A-MAX)
Muzzle: 81% 1811 vs. 2261 ft-lbs
100yds: 82% 1580 vs. 1926
200yds: 84% 1374 vs. 1631
300yds 87% 1188 vs. 1373
400yds 89% 1024 vs. 1149
500yds 92% 878 vs. 957
600yds 94% 751 vs. 795
700yds 97% 641 vs. 661
800yds 99% 548 vs. 555
900yds 99% 470 vs. 473
And you do that with 10,000psi less chamber pressure, 14gr less powder, 40-60% of the recoil, fits in an AR15, all the factory ammo is actually designed to work in a gas gun, and match Hornady 123gr A-MAX is several dollars cheaper than steel jacketed 147gr 7.62 NATO FMJ at Wal Mart.
We can do the same comparison with the 175gr SMK vs. the 123gr Scenar, and we see a similar set of data. At 600yds, the Grendel has 85% of the energy of the .308 in that comparison. You start to see really quick why I dropped .308 altogether. There are just way too many cons for minor % gains at distances where both cartridges have plenty of power, and are within 15% of each other at the distances that matter more to me. It's just not worth it when you look at the 2 side-by-side.