Quoted: Barrel length is a factor in muzzle velocity, not accuracy.
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This is more or less true at "close" target distance.
If you lose too much velocity, it will affect the max distance at which you can realistically make hits in the presence of wind, ranging error, etc. Besides those two factors, if you don't have enough muzzle velocity to keep the bullet supersonic at the target distance, forget trying to hit it accurately. A 168gr @ 2600 will be subsonic @ 1000 yards.
The following is sort of my rule-of-thumb:
* If you want 308 to reach out to 700 yard solidly, get a 24-26" barrel.
* If you don't care about much past 500-600, 20" might be OK.
The less wind drift the load has at a distance, the more wind estimation error can occur and not cause a miss. For example, if you're shooting a 10" square plate at 700 yards, the best 24"/308 loads will have about 3.5" of drift per 1mph of crosswind. With a center hold, the wind call can be off by only 1.4mph to still make a hit. A 20" load might have a factor of 5.1" per 1mph, which means you need to call the wind within less than 1mph (0.98mph).
Same deal for ranging error. If the load is dropping at 0.5" per yard @ 600 yards, then on a 10" target you can accept up to a 10 yard ranging error and still have a hope of hitting it, in the absence of other changes in ballistic parameters (eg, temp, station pressure). At 600 yards, an average 20" load might have 0.48" drop per yard, while the best 24" loads might have only 0.36" drop per yard.
Here's some data to think about. Used a density altitude of 1000', wind is for a 10mph value.
_Bullet_ _BC_ _MV_ 0 100 200 300 400 500 600 700 800 | YARDS
20 168SMK 0.46* 2575 > 0.00 0.78 3.24 7.59 14.14 23.20 35.06 50.15 68.77 | wind (inches)
20 175SMK 0.51* 2525 > 0.00 0.72 2.99 6.96 12.83 20.79 31.11 44.03 59.77 | wind (inches)
20 155LAP 0.508 2720 > 0.00 0.63 2.61 6.07 11.16 18.06 26.95 38.05 51.56 | wind (inches)
24 175SMK 0.51* 2700 > 0.00 0.65 2.71 6.30 11.59 18.78 28.06 39.70 53.92 | wind (inches)
24 155LAP 0.508 2830 > 0.00 0.60 2.47 5.73 10.52 17.01 25.37 35.81 48.53 | wind (inches)
20 168SMK 0.46* 2575 > 0.05 -0.01 -0.07 -0.15 -0.24 -0.35 -0.48 -0.64 -0.83 | drop per yard (inches)
20 175SMK 0.51* 2525 > 0.05 -0.01 -0.08 -0.15 -0.24 -0.35 -0.47 -0.61 -0.78 | drop per yard (inches)
20 155LAP 0.508 2720 > 0.04 -0.01 -0.06 -0.13 -0.20 -0.29 -0.39 -0.51 -0.64 | drop per yard (inches)
24 175SMK 0.51* 2700 > 0.04 -0.01 -0.06 -0.13 -0.21 -0.30 -0.40 -0.52 -0.67 | drop per yard (inches)
24 155LAP 0.508 2830 > 0.04 -0.00 -0.06 -0.12 -0.18 -0.26 -0.36 -0.46 -0.58 | drop per yard (inches)
20 168SMK 0.46* 2575 > 2.3135 2.1469 1.9870 1.8319 1.6786 1.5342 1.3989 1.2710 1.1582 | mach ratio
20 175SMK 0.51* 2525 > 2.2686 2.1198 1.9764 1.8387 1.7068 1.5807 1.4599 1.3474 1.2442 | mach ratio
20 155LAP 0.508 2720 > 2.4438 2.2921 2.1459 2.0049 1.8692 1.7391 1.6149 1.4973 1.3871 | mach ratio
24 175SMK 0.51* 2700 > 2.4258 2.2712 2.1223 1.9789 1.8410 1.7090 1.5829 1.4620 1.3493 | mach ratio
24 155LAP 0.508 2830 > 2.5426 2.3872 2.2376 2.0933 1.9543 1.8206 1.6926 1.5707 1.4559 | mach ratio
The muzzle velocities used for the 20" are what I chrono'd from my 20" AR10. The 24" velocities are what I chronod from my 24" AWP.