.22 bores don't need cleaning, other than for extreme precision work. I always just used a shot or two of brake cleaner, q tips, etc , every few thousand rds to clean the bolt and action, another shot of WD 40 and keep shooting.
I once put 24,000 rds of cast swc .45's, 750 fps, 230 gr bullets, thru a MK1v Colt in 6 weeks. I cleaned the gun 8x, no malfunctions that could be blamed on the gun. A couple of old mags fell apart. cracked the firing pin stop, broke a finger off of the collet bushing(but it kept shooting), chipped the lower barrel lug and the extractor tip. Replaced the extractor. Had a minute crack in the frame, near the slide stop lockopen hole. Never did clean the bore. Had hard alloy, 50-50 Alox and beeswax lube. Bullseye powder, Alcan primers, same 3000 cases, each of which had been loaded 3x before. Ended up with a bit over 1000 cases, all bulged at the web.
Carbide dies, Star Progressive loader.
If the gun is of decent design and make, the accumulating crud from firing is shoved out of the way of the moving parts as you fire.
It's foreign debris like sand, and salt spray or air near or on the sea, or corrosive priming that you have to worry about. High velocity rifles, or soft lead cast bullets, or those driven at higher velocities, DO require frequent cleaning of the bore. Maybe as often as every 10 rds, for real precision benchrest rifle shooting.