Out of a couple dozen barrels on encores, nef's and other break actions it and a .223 ultra rifle were the ONLY ones that could do that with any repeatability.
Interestingly, I have had an Encore with multiple barrels and I currently own a number of H&R/NEF HandiRifles. I think well of the HandiRifle, in large part due to its ergonomics that cater to fast offhand snap-shooting.
On the Encore, I had one barrel that shot like a house afire and the remainder of the barrels that ranged from acceptable to complete crap in accuracy (threw patterns instead of groups). I tried all sorts of forearm tricks and sandbagging tricks to figure out why the bad barrels shot poorly on the same frame setup that shot so well with a different barrel. Nothing really solved the 'worst' barrel's issues. I then took to measuring the differences between the barrels, as best I could.
In the end, I concluded that the difference in the performance of the barrels was related mostly to chamber depth (adjusting the sizing die to not bump the shoulder back helped a lot). The second variance that I noted was the barrel-to-breechface gap. The barrels that shot poorly had a demonstrable wear pattern on the breechface of the barrel. Those that had a .002" or so uniform gap seemed to shoot most accurately. In many cases, especially with the NEF/H&H, the barrel's breech face is not perfectly square. If the barrel's breech makes contact with the receiver's breechface, it will likely not shoot as accurately as it might otherwise.
I still think that the H&R program for new barrels, at $90-$120/barrel plus $30 fitting, is a true bargain.
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ETA - I will admit that I think very poorly of the Rossi, based solely upon the insanely poor fit of the barrel-to-receiver-hinge. The gun locks up OK, but there is so much slop and play around the hinge pin, even when new, that I simply cannot see them lasting for any amount of real use.
I could be wrong and they may last OK, but I doubt it. I certainly don't wanna shoot something that is so poorly made when I can do better for no more money.