You always have to remember that Price is the true leader of the team, regardless of what letter is put on the chest of the other players. Pacioretty is a respected contributor to the committee of leaders and likely got the C because everyone felt he was the safe choice. I'm sure he's well liked as well. If Carey wanted someone else I doubt Max would have the C.
He's had a rough year due to the team collapsing and him getting zero help from his administration. I have full confidence him and the team will bounce back. That said I also don't ever look at him as the defacto leader of the team. That's Carey and nobody else.