Jim,
Let me try to answer your question a little more clearly. There's a difference between frame stretch, which to me means a permanent change in the frame dimensions, and frame flex, either the frame itself, or the action within while under the stress of breech force. I once made a small tool to try and measure the change in the angle of the horizontal side of a frame where it meets the standing breech part, but never could find a difference between before and after the shot with my measurement method, but if there was a difference, there wasn't much. But the internals of the action must flex some which is what makes hot loaded brass hard to rechamber once they're been fired, it also makes them stick in ejectors and hard to extract as well as the difficult barrel release. I feel the weak link in the action, as I stated earlier, is the pin that anchors the barrel latch, it's just too small and not properly supported, I think if H&R made that pin a little larger and closed the gaps on each side so the latch pin is supported closer to the center, it would help a lot. I've even thought about making one myself just to see if it's feasible.
An entirely different issue is underlug setback, and as Spanky mentioned, has happened with some 500S&W barrels, but those were replaced by H&R, whether it's common I don't really think so since there are many here that have never had a problem shooting a lot of hunting loads in theirs. One member had a 38-55 shoot loose a long time ago, IIRC he had a lot of rounds thru it when it happened, 8000 rounds thru the 5 H&Rs that he owned I think it was, and he only shot cast loads in the 38-55, it's a low pressure round, so IMO it was probably from not lubing the pivot regularly and it just wore loose, may happen even if it was lubed regularly, that's a lot of cycles just from loading and unloading, a heck of a lot of shooting!
Tim