solitary,
I run my boresnake through the barrel 3 or 4 times before I use the wipe- out then just use the wipe-out.

I have never tried brushing it after using the wipe-out.

Once I put a patch through the bore that comes out clean that is clean enough for me.

Did you use the wipe-out until you were getting clean patches and then scrub it and find that it required further cleaning?