Unfortunately most would rather a five shot group in one sitting that you can cover with a dime.
Five shot groups for a hunting rifle just aren't necessary IMHO. Give me a rifle that will consistently shoot the first two shots from a cold barrel into a predicatble half inch group at 100 yards and I'll smile the whole hunting trip.
one shot = animal down
two shots = maybe animal down
three shots = someone didn't do their part and maybe a wounded animal.
all the rest = waste of ammo
I have a Model 7 Rem in 7-08 that has a pencil thin barrel. After two shots, especially on a warm day, the barrel is already very warm and will place the third shot a inch to the left, every time. I've spent hours fiddling with it.
Bedding, everything from a fully floating bbl to fully bedded to the end of the stock and several things in between, including pressure pads with 5-6 pounds of upward pressure and even went so far as to install side pressure screws about 4 inches back on the fore end to try to eliminate the leftward drift. Didn't work.
Even recut the crown. Nope didn't do a thing.
It's just the nature of the beast.
I have no qualms hunting with this rifle. I know that if I do my part the little 7 will perform in an exemplary manner for the first two shots.
Ruger #1 rifles are notorious for similar actions.