I have a 26 inch heavy 25/06 barrel on my Prohunter. The first centerfire barrel I've used on it. I also have a 25/06 Tikka T-3, that I've had for several years. I handload and the Tikka loves hot loads, right up to the edge of max is where it shoots best. When I started shooting the Prohunter I used a few of my Tikka loads, as I already had a bunch loaded up, 117 Ballistic tips with a max load of IMR 4350. The T/C would shoot the first one out of a cold barrel way high, then shoot a 3 shot group that was great right on POA as long as the barrel was warm. Not very good for a hunting rifle. I was needing some new brass anyway, so I picked up a couple of boxes of Hornaday 117 gr., SST, factory loads and the Prohunter loved'em. Shot several 3/4 inch, 3 shot groups at 100 yds with all going into the same place, hot or cold barrel. Just got done with the first week of modern gun deer season here and I got an 8 point the first morning at 100 yds and a 7 point at 250 yds the same afternoon with the Prohunter and the SST bullets.
My guess is the break open action of an Encore just won't handle the pressure, that a locking action like a bolt action can, without flexing or giving in some way that effects accuracy.