I also use multiple wet patches followed by TWO applications of Wipe-Out Foam (while barrel is still warm). Then dry patch after 3-4 hours.
For the Wipe-out phase I apply the foam from muzzle with guide-rod in place, so foam does not get into the action. I wait 15-20 minutes for bubbles to dissipate, then re-apply foam the second time.
You people would not believe how little brushing my custom, hand-lapped barrels get, so I won't even discuss that here. I will only say that we had one guy at our club with a 6.5-284 who nearly doubled his accurate barrel life by switching from a very aggressive barrel cleaning routine with lots of bronze brushing and use of abrasives. As part of his successful change, he did follow my advice to clean with barrel warm, before the carbon set up.
Some barrels (and powder types/strings of fire) definitely need brushing. No question. But you guys might be shocked by the results if you try brushing less, try cleaning at the range right after shooting, and using Wipe-Out regularly. As with anything, YMMV, and do what you want.
And yes, of course, I know that Hall-of-Fame PPC guys brush a LOT, and often use IOSSO, and they shoot the smallest groups. That cannot be contested. However, they also tend to toss their barrels with a relatively low round count. Each discipline is different, but I suspect many of the shooters here, who are perhaps shooting one 60-70 rd club match a month, can get by with a LOT less brushing.