Really? Now you're getting after me for exaggerating? Well, of course I exaggerate the matter, as has been indicated to me before this forum would be a dull and dry place if all we did was post facts and opinions. Of course there's going to be exaggerations, and of course there's going to be at times over the top misrepresentations, because this is an internet forum where we come to discuss entertainment and to be entertained.
It is not hard to parse through the exaggerations and misrepresentations to get to the truth of the matter, and the truth of the matter is that Kirk's death scene is very similar to Spock's death scene in TWOK. As has been indicated above, it goes way beyond simple tributes and homages. You got Spock being told "I think you'd better get down here" followed by a montage of Spock running though the corridors to engineering, Kirk can't be removed from the chamber because it'll "flood the whole compartment." It doesn't help matters that during the scene, Kirk tells Spock "you would do the same" which to serves as a way of reminding the audience of the scene in TWOK. In fact, that's pretty much what I thought of it as every time I saw the scene until very recently when I realized he could also have been mentioning the fact that Spock would have also sacrificed his life for his ship and crew.
The scene is so similar that when I first saw the movie it completely took me out of the movie and was distracting enough I couldn't really get into the movie again afterwards. The scene is obviously inspired by the scene in TWOK, the copious similarities are there intentionally. So yeah, if someone wants to say it's line by line, I don't see the need to contradict them, because you know what, for all its similarities it might as well be.