I imagine that deep in his soul, Conor does care. MMA fighters that are all humble and "may the best man win" can more easily lose and keep their ego intact, because they didn't talk that much shit in the first place.
But Conor talked loads of shit, said he would KO Khabib, only to get dropped himself. It's not possible for him to truly not care. It was a poor performance, it wasn't like Diaz 1 where he at least was smashing Diaz before he gassed.
For the rest of his life he is going to have to deal with GIFs of him being dropped and tapped in response to any tweet he ever puts out. I like Conor but there's not a man alive that can live with millions of people taunting you about tapping and being dropped without caring about it.
That being said, he's handling it well. He's putting off a convincing front that he doesn't care. It seems that Conor has accepted that he's almost done in MMA. He's on his way out. He might come back for the Khabib rematch next year and get back his younger hunger for one last final camp, putting everything into it, hoping that if he gets a win he can redeem himself. For the Diaz loss, he was back training like a mad man immediately after. For this loss, he's on a huge Proper 12 promotional tour.. And every minute he spends selling his whiskey is a minute he isn't training. He's mentally checked out.
There's no way he isn't traumatized and really hurt in his soul. That's not humanly possible
His pride and ego has taken a huge dent, whether he shows that or not