Realistically, the weight savings are MINIMAL on a gun like this and unless you're shooting full auto the cool-down factor shouldn't be a problem. Also are they fluting H-bars or standard barrels? I have always preferred H-bars for my action rifle competition, and have been told that full H-bars are more likey to hold thier zero than a non-h-bar when they get hot.
I bought my 11.5 upper for my RR about a year ago and couldn't decide on the fluted either, but decided against it, even though I shoot it in FA. I thought a full bull barrel would be better than fluting, and when it gets too hot I just switch to my 20" upper.
I also considered fluting just for looks, but on a 11.5 rifle you really wouldn't see much, so don't do it for that
Here's a pic of my bushy 11.5 :
Just my .02