I think that the general idea being suggested might be more along the lines of a backwoods/hardtimes game getter more so than anything else.
I emailed Henry Arms once, not so long ago, about their version of the AR-7. I'd read that they'd work more or less reliably with mini mags, esp after polished. But I wrote to ask whether they'd stand behind one behind reliable. The president of the company wrote me back. He said that they'd stand it behind it however possible... but.... if I wanted a really reliable rifle I'd be much better off with one of their lever actions. I appreciated his honesty.
One of these days I'll get one of their lever actions too.
Meanwhile, I like the little/simple CZ513 bolt action. It's light, handy, and fairly cheap. Seems robust and simple enough too. A conversion kit to make one a single shot can be had as well. Though any of dozens of single shot or magazine fed bolt action rifles made over the years would also work.
A suppressed weapon isn't legally available in all states, the tax stamp alone will cost more than many used .22s (and a decent stash of ammo) and a suppressed weapon will tend to be (all things being equal) less reliable and more maintenance intensive than one without a can on it. The .22 rimfire - esp from a rifle - isn't that noisy anyway and most people aren't good at telling where a shot came from, the more so if there is only one shot.
I had one of the Cz made .22Hornet over .410 rifles during the Y2K hysteria. I sold it some years later. Maybe for aircrew survival for a SAC crew it made sense, but eh... Would also work in an aircrew survival kit for flying the bush, maybe in an off roading vehicle, etc. For the backwoods cabin or home, the over under savage in .22LR/20ga is probably the more useful thing to walk around with.
On any kind of a budget, and if one wants to purshase new, the Henry Lever Action could be paired with a Heritage Arms Single Action and someone can be up and running relatively quickly.
So why do I have a bolt action? Easy to fire prone. Easy to load with any old mangy or banged up .22 ammo (short, long, long rifle) that you have laying around too. And if breaks, so long as I can salvage the bbl I can rig up something that will still fire with a door bolt if I had to (seen it done).
I have ARs of course, for other purposes. But those aren't that interesting and pretty much the same as most. What's rather telling is that so many have ARs to show off.... but you rarely see body armor with rifle plates and combat life saver bags to go with them. Or night vision gear... etc. If you find yourself in dire need of a fighting rifle to stay alive, odds are that you really need the sorts of things that accompany one into battle too, but not too many people get the rest of the stuff.
I do not own any pistol caliber carbines. They tend to make mediocre hunting guns (the .44 mag lever actions - which I did used to have one -- are somewhat useful I'll admit). For personal defense, well you'll get the increased hit probability that a shoulder fired weapon gives but... you've lost the range and power that a rifle would give. You also end up with a weapon unlikely to penetrate the better types of even soft body armor. Yet conversely you can accidentally shoot through more walls than you would with a 5.56mm properly loaded.
ARs are far from useless for hunting - that many AR pattern rifles are now sold specifically for hunting serves to illustrate this - but the configurations most useful for defensive purposes don't always lend themselves as well to game gathering. A notable exception would be a full size flat top fitted with one of the ACOG optics.