Facts he is the perfect representation of an Admiral. But what makes him so cool is his gives no fucks attitude. He simply cannot be fazed, by literally anything.
Look at this guys reaction to a literal top tier spawning out of nowhere.
He straight up ignores him to his face.
Gets stopped by him and is almost indifferent to the fact that he now has to fight a top tier. Wastes no time going at him.
It's like having to fight a top tier outside of his agenda for the day, is a mild inconvenience, when most top tiers would pack their shit up and avoid confrontation that they didn't sign up for.
Because Rayleigh is now getting in the way of his job, taking him on is now just a part of the process for him. And that's what makes him such a G. He doesn't care who or what he's up against, could be 2 Yonkou as per canon, as long as he's on the clock it's not much more than an annoying day at work for him. It's like he's saying that is what is expected out of an Admiral.
Couldn't be a better character to represent that position. Calm and collected, he has way too much confidence in his abilities and his organization to let anything truly bother him. Sengoku is the exact opposite which is why he is my least favourite Admiral by far, dude lets literally everything stress him out, but I guess you need a straight man to balance out Garp.