For some folks, that's all the difference. As to the different barrels etc, lets assume for a second that we are comparing two firearms that are identical except for barrel length. What's the weight per inch of barrel? I seem to recall reading somewhere it was roughly one ounce per inch on a varmint barrel, so chopping 10" off going from 26" to 16" should lighten your rifle up about 10 ounces. That would be noticeable to most folks I think. I've never found short barrelled 308's that bad (the muzzle blast and noise were much worse then the recoil), even used a 15" 308 back when silhouette was a popular sport.
Back to the OP, cut the barrel and recrown the muzzle, and give it a whirl. If you don't like it it will give you an excuse to rebarrel. - dan