I have exactly 1 rifle that will do that, it's a Rem 788 in 243, It's done it with 3 different loads. But it won't group good with just anything, some stuff that should be accurate it will pattern not group. When it likes something though.............. My dads savage 110 06 will shoot 1/2moa day in day out with it's current load. Like greyfox I'm the weak link in the whole equation, I figure on any given day I'm about 1/2moa, on a very rare good day I can get down to 1/4moa but it doesn't last and like I said rarely happens. My other rifles that have been gone through and have match barrels, I can't fully take advantage of them.
You don't hear much about 788's anymore, but I have one in 22-250 that has always shot extremely well with hand loads & like you I had 2-3 that shot consistently .5MOA or less groups. One of them would do 5/16MOA if I did my part, I usually put blame on myself for most anything that gave me flyers. Keeping myself honest did more to improve my consistency than anything.
However I did go to extremes preparing my Herters brass. I always trimmed new brass to length and reamed all flash holes to the same size, which was 2mm. Oversize flash holes I pitched, but they were few. After that I weighed & sorted all brass into groups that were within .1 grain of each other. Maybe some of this was overkill, but I wanted to insure consistency of internal case volume & this was the only thing I could afford to do at the time. This practice hasn't let me down yet. I've heard others say to fill the case with water & weigh that instead. Somehow logic told me that was more of a pain than I was willing to forgo. My 788 had a factory birch stock that I glass bedded the action & approx. 1" of the barrel beyond the receiver. Every single charge was weighed & trickled to within .05 grain. I'm sure it was over kill, but I do it anyway. Sierra 55 grain & Speer 55 grain spitzers seemed to shoot best for me.
For some reason the 22-250 had a heavier barrel (.645 inches at the muzzle) than the .222 & a .243 that friends of my had. Theirs was 1/2 at the muzzle. I personally never met anyone that didn't have a 788 that didn't shoot extremely well with good hand loads.
That being said, I just can't imagine a model 12 Savage that wouldn't outshoot the average 788 Remington. I've read more than a hundred posts about Savage rifles that 99% seem to have the same or higher regard for the Savage from the Model 10 to present day Models 12's.
I think that gentleman needs to find someone that is a known expert marksman in the area and ask him to shoot his rifle, to see if he can shoot it better.
BTW, I always did one other thing whenever I was shooting targets from a bench. I always waited a minute between shots in an effort to insure a barrel that remained reasonably cool. If your rifle is up to par, then everything else falls on your own shoulders.