Free floated barrels aren't more accurate. However, free floating provide more consistency. You are speaking of Remington's in particular. Of the better than 30 Remington's that I've owned only one shot tighter groups with the fore-end pressure, & the problem was that everytime I was going to use the rifle I checked the zero which I still do. After 3-4 months with no use the POI would shift a little and I would have to adjust zero. After floating the barrel and bedding the action my groups did enlarge a little but in the past 3 years when veryfying zero I have made no adjustments to the scope. This rifle I only use for deer & feral hogs and use the same reload religously.