I tried the tool. It has one rod for the brush and another that is for inside the action, not the lugs. I found that the rope was stupid on an AR (Maybe a bolt would be different) it just falls out. Two 12ga shotgun patches through the hole worked great.
On another note, I used CLP for the first time, just to lube the action. I didn't think I put too much on, just hit the wear points. I fired 120 rounds with one rapid fire muti mag shoot. That stuff migrated all over the entire action. The bolt and carrier were well covered. Now I see why they use that in the military. FP-10 didn't do that.