[Tallest]

I would say anytime you're getting a rifle specifically for target shooting, barrel weight matters, even it is a "cooler" caliber like 223. A true sporter will heat up significantly with shot after shoot no matter what round you're putting through it. Varmint weight barrels are good place to begin if you don't want a full heavy bull barrel target rifle. But if you're trying to get your tightest possible groups at 200 yds or farther, you'll want something heavy.