Now that you say that, what you do makes more sense to me Jim.
I have proven to myself that using a boresnake immediately after shooting on a warm barrel followed by some CLP will remove eighty to ninety percent of the fouling, etc. in a barrel. Like you, I always wipe down the exterior with a cloth that has seen some oil in its life.
Prior to my next outing, I run a boresnake through again which seems to remove some material.
I periodically clean my guns with a rod and patch application and probably do so more often than three or four times a year. This depends on use. And on the shells used. For some guns, this means a thorough cleaning at home with rod and patch after each use.
Using a rod and patch is more effective than a boresnake no doubt. When I shoot a lot, as at a Vintagers' meet, I use the rod and patch.