The story goes that the Courier was once negligent. He seemed to live day to day, just doing his job and nothing but, not concerned with morality or the big picture. He failed to realize his own impact on the world and in a way, didn't accept his fate.
Hell, even when he gets shot, he doesn't "accept his fate" in the sense that the badass just gets up and hunts down his attacker for revenge.
Fast-forward to post Lonesome Road, that's when he realizes and accepts his fate. He finally understands that he's involved in something greater than he is, whether he likes it or not, and if he chooses to deny this responsibility, people could suffer. It's time to grow up, and I imagine he does.
Back on that subject, Ulysses also mentions Tunnelers will take the Mojave. To me, this is where the Courier makes his stand. This is where he stops running from reality and faces it. He'll defend the Mojave from the Tunnelers, or die trying. Question is if he'll die trying. In one way it seems like dying to Tunnelers would be taking responsibility; that in order to truly "grow up" he must die to repent for past mistakes. In another way though....this is still the mother [censored] Courier. He just does NOT die. Survived a doubletap at point blank range, survived the Sierra Madre, survived the Big MT lobotomization, survived the Divide, etc etc etc. He's incredibly durable and incredibly lucky.
I'm honestly not sure if he would survive that battle or not. Seems 50-50. Both seem likely. Though tbh, of all the people fighting the Tunnelers, he obviously seems like the best candidate to survive it all.