He's a kinda Jekyll & Hyde captain
He tried leaving once or twice. He's not a great leader.
but
By all account he's fantastic with new signings and youth players, he's stayed here when he was well within his rights to leave, he leads by example, there've been seasons, let alone games, where he's been tasked with holding the entire club on his shoulders and trying to be the difference between top 4 and 10th and he's never shirked that responsibility.
Also, he's calmed down a lot in recent years to cut out the things like terrible tackles and loose elbows, he punched a Manc wth the speed and precision of a professional boxer, and I don't think there have ever been issues between him and another Liverpool player.
He's basically spent the last decade being Mr Liverpool, the figurehead we've needed to stop us sliding into complete mediocrity. Whether you consider that to be relevant to his captaincy is a matter of opinion, I would though.
Terry is a better captain though tbf imo