The .270 and .30-06 are found in half-inch longer actions than the .308, but the weight (five ounces?) isn't the primary difference, I find. The primary difference I notice is one of balance; the shorter length moves the balance of the rifle backwards, sometimes remarkably. I prefer the weight a little further back, so in gun boutiques I always prefer the shorter actions within the same brand of rifle. It's a small difference, though, and for 20 years I've been using a 270 as my primary deer rifle, while other purchases and calibers have come and gone. As has been said before, we're a superstitious lot, and deer being DRT has given me no reason to change.
I do think we make too big a deal about it, sometimes. The deer won't know the difference. Starting wth a clean slate, I'd likely say "None of the above," and go with a 7mm-08, which is to the .308 what the .270 is to the .30-06.
Jaywalker