I did it once, but don't believe it is needed because it makes no difference after your barrel is cleaned say 10 times during several hundred rounds and multiple sessions. Or cleaned once after each of 10 shots.

If you do the shoot one and clean thing, I suggest laying out the first patch of each cleaning next to the first patch of the previous. You will be able to tell a progression of cleaner first patches for about 8 or 10 cleanings.

That's why I only did it once.