Okay, but you're playing fast and loose with the facts. Yes, if we pretend carbon dioxide generated during the reburn is the same as carbon of other forms going into the DPF, then we can say that ultimately the carbon all passes out. This is true.
But it is not the same, with regard to impact on the operator or the environment. The carbon is not just being broken into smaller particles, but going through a chemical change with the aid of heat. More succinctly and using the example I posted earlier, the amount of carbon put into the air I'm breathing while hooking up implements in my shed is not the same, because I don't let the thing sit and regen while I'm in the shed with it.
This isn't far from the folks that pretend EV's aren't any better for greenhouse gas generation than ICE's, "because they both ultimately use fossil fuels". Half-truths aren't full truths!