Yes, tow would work as well, Wade.
Towards the end of my cleaning process, I run a 1/2 cotton ball down the bore to the breech, give it a few turns with the patch retriever and pull it out - then check it for anything I missed. If needed, I run the other half of the cotton ball down - then check it.
The above rod is what I use mainly when I'm shooting primitive matches and feel / find that I need to wipe between matches at times. I've went up to 25 shots at times without ever having to wipe the bore of my flintlock, but I think weather conditions played a big part in that. My normal is more like 15 shots.