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How accurate are they?
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I can't speak directly to the Henry AR-7, but the Armalite and Charter Arms AR-7s were not all that accurate.
The Henry version uses ABS plastic for the stock, the stock will hold the receiver with the magazine installed, and will hold a spare magazine, while the Charter Arms and Armalite version would not. However, they all use the same barrel design - an aluminum barrel with a steel liner, and the use the same rather crude peep sight.
I also own a couple M6 Survival rifles. I am not at all impressed with the accuracy of the .22 Hornet version as the point of impact rises with every shot as the thin barrel heats. However the .22 LR version is capable of accuracy around 1" for a 5 shot group at 50 yards with the open sights. As a survival rifle it's a better option. You can also get a detent ball pivot pin, which allows you to separate the front and back ends for even more compact storage.
I'm also partial to the 9422 and I've carried it in a soft case in the baggage compartment as well, as it takes down quickly by removing the hammer screw and if you get an after market hammer screw with a saddle ring on it, it's a no tools required operation. The 9422 is quite accurate for a lever action .22LR and a Tang sight will let you take advantage of that potential accuracy without adding weight or bulk.
The best survival rifle option however if you don't need to take it into Canada, where it is n to allowed, is a 16" AR-15 carbine with a very hard to break entry stock, and an additional .22 LR conversion kit. Load up a 30 round magazine or two of .223, throw in the .22 LR conversion kit, a 22 LR magazine and a couple boxes of standard or high velocity .22 LR and you're well equipped to take small game fairly quietly, and you've got the ability to take deer sized game if needed.