One could make that argument but I think it misses the point of the character drama, rather than coming at it as strictly an audience member. If one places themselves in Kirk's mindset, he has no way of knowing he will live, neither does Spock, neither does Kirk. The drama doesn't come from the end result, but Kirk's choice, in defiance of his assertion that there is no "no win" scenario.Why introduce the fake drama of having Kirk die only to bring him back again 20 minutes later?
Yes, I know it exactly mirrored the end of TWOK, but remember that wasn't even resolved until the next movie. And one could argue (I certainly would) that that wasn't a touching tribute at all, but a cynical ripoff of a classic and emotionally touching scene.
He learns a whole lot more than is given credit for because of superficial reading of the scene, including "cynical" descriptors.