The late John Wootters, Jr. was a frequent user of a Sako Forester .308, which has a 20-inch bbl., I think. He used many other rifles, but that was a favorite and it appeared in many of his articles over maybe four decades after he got it. I think I recall him telling me that he bought it at an estate sale in the 1970's, maybe earlier.
He found it very effective under the conditions in which he used it. The 1:12-inch rifling twist didn't seem to matter, although I'd prefer a 1:10 twist.
But he also had a 7mm Remington Magnum and other rifles for large game and for longer ranges.
If you're hunting whitetails and pigs under 250 yards, I think a 20-inch .308 is fine. I have a 20-inch 7mm-08 and feel confident that it'll perfom well with the right bullets. My DIL shot a 150 pound deer at about 80 yards with that gun and it killed like a Star Trek phaser.
But I would not select a short .308 as an all around rifle for general North American and lighter African plains hunting. Even with a 22-inch barrel, I think I'd still prefer a .270 or a .30/06. If you want best performance from 180 grain and heavier bullets, the .308 just doesn't have the steam to drive them as fast as a .30/06. Using premium 150-165 grain bullets will still let you kill most animals, most of the time, but I'd select a 22-inch barrel.
Canadians have killed a lot of elk and moose with the .303 British, which is a little milder than the .308, but the .303 isn't ideal at extended ranges, either. But it has also killed a trainload of African game, including some species that are larger than it should be used on.
I think you'll want a longer barrel if the rifle is apt to see use beyond 250 yards. Under that, it should be fine, if you shoot well and don't take quartering shots on elk or moose or big bear.