Updated: Inadequate Cleaning to Adequate Cleaning.

[russ69]

OP. You might be overthinking this AND over cleaning. It's good to get a barrel clean but after that a very light cleaning should do the trick. 15 to 20 strokes is a lot of cleaning and probably not required. The barrel should be relatively clean not perfectly clean. I didn't have to scrub my 1939 Garand barrel that much and it was loaded with decades worth of copper. Remember: light cleanings more often are better than heavy cleaning.

[Divernhunter]

That Outers Foul Out is a great system. I just never spent the money for it and not sure it would work well on mag-n-ported barrels.

[smle-man]

Something else to consider: a fouled(lightly 2-5 shots) barrel is usually more accurate then a very clean and oiled one.
Also more firearms have had barrels ruined by improper over cleaning that not enough cleaning. One of the worse things to use is a jointed alum cleaning rod. Use a SS or coated or carbon fiber rod. "I" like the Dewey(coated) or Pro-Shooter(stainless Steel) one piece rods.
I like the Wipe-out since I do less brushing and that is better for the barrel not to have the cleaning rod working back and forth anymore than needed. The good copper removers are also better than stuff like #9 because you need less strokes of the cleaning rod to get it even better cleaned.

Great wisdom here!

If I may add:

Don't let any solvent containing ammonia linger very long in your barrel as it can etch the metal badly. Don't ever use straight ammonia in a barrel.
Don't use a bronze brush with an ammonia containing solvent-the solvent will eat the brush. Use some light weight oil to lubricate the brush's passage (never dry brush a bore unless you want to ruin the brush).