The only time I've ever had the problem of cold groups being 1/2 the size of hot bore groups was when my Savage BVSS in 7mag had part of the stock just barely touching the barrel. If I let it cool between shots it would shoot 1/2 moa easy, if I tried to do a 5 shot group, shot number 3 would move out past 1 moa every time and 4th & 5th shot were worse.
I've not had that problem with my Savage 110 25-06 nor my Encore 25-06 and I shoot the Nosler 117g bullets loaded with H4831sc. I've really never done more than 3 round groups with them so a 1/2moa group doesn't mean much statistically. It didn't take a while to get the charge weight and seating depth just right for the heavy bullets vs. something down closer to 100g. The lighter bullets in 25cal seemed to be easier to group but I wanted to shoot the heavier ones so I kept at it until I got what I needed.
I've not had that problem with my Savage 110 25-06 nor my Encore 25-06 and I shoot the Nosler 117g bullets loaded with H4831sc. I've really never done more than 3 round groups with them so a 1/2moa group doesn't mean much statistically. It didn't take a while to get the charge weight and seating depth just right for the heavy bullets vs. something down closer to 100g. The lighter bullets in 25cal seemed to be easier to group but I wanted to shoot the heavier ones so I kept at it until I got what I needed.