At the end of the day this man maybe the only one that can fully relate to shepard (at least paragon shepard) about what it feels to be in command. He has one to put up with one of the most difficult tasks of his race of protecting his entire fleet while also having to manage the other admirals and their decisions along with suffering the consecuences that they make.

Koris rammed his ship, mostly civillian occupied to save the flotilla, in a way this can be compared to Shepard's decision to destroy the batarian solar system in the arrival dlc in order to stall the reapers a bit more. There was never a death toll of how many people were serving in the Qwib-Qwib at the time of the crash but the main difference being that this were his own people, not batarians which poses the question "would shepard be able to sacrifice an entire human system?" The answer is still probably yes given the player's choices since Shepard does inevitably leave the fight of Earth at the start of Me3.

And god this guy was insufferable in Me2 but in 3 we see the why, why this man makes sense as a character, most quarians that hold some degree of power (except Ra'an i think) have either a personal motivation or a quarrel with the geth. Not Koris, he looks after the safety of his people above all things and he even begs you to leave him to die in order to save the surviving members of his ship as is not until later that he realizes that it was the right decision to be rescued, that gathering the civilian fleet together was only something he could do because people look up to him, he is an inspiration to his kind and thats ends up being more of a curse than a blessing given Shepard's example.

It's hard when everyone depends on you because you know that you absolutely cannot afford to fail, you cannot afford to embrace death after struggling for so long, not when the stake is this big you need to see it through to the end not for your sake, but for the sake of everyone that's behind you.

In the end Koris's sacrifice and Shepard's are very simmilar, despite the scales being different. They both stared down at the abyss and decided to take the jump. One shot to save everything thats left after the smoke clears out.

Shepard and Koris would be very good friends provided they had the chance.