Cleaning a .22, 223 or similar with a multiple- piece or one-piece rod, it's almost impossible not to touch the barrel on the inside. Technically you could use a .22 cal. rod with adapter end to clean .38s or .45s and never touch the rod inside the larger barrel with anything but the patch.
With the .22s though, the rod diameter is so close to the diameter of the bore, you will almost always touch. The only rod smaller is the .17, and that one has different threads with no adapter available that I know of, and I think most of those are steel.
I'd worry more about the crown when the jag pops in or out, depending on what rifle you're cleaning, and from what end you are able to clean it from (breech end preferably, of course).
I say try the one-piece Deweys for the rifles, but there's a bit of a storage problem when you have a rod as long as your rifle.
Sometimes you need three hands to push the rod in straight if you don't have a holder for the gun. Ask someone to help you hold it straight, as butt on ground, rifle between the knees with long barrels doesn't always allow you to pull the rod straight out (if cleaning, for instance, a lever gun from the muzzle end).