It was a really well-acted scene, but the logic doesn't work for me, either. Pike is only human. With knowledge of that future, he does nothing to try and change it? Not even make sure baffle plates on cadet training vessels are in good shape? The scene would make more sense if Pike saw the future, but then the memory was wiped. So he knows something bad will happen in his future, but not specifically what.
And I guess for me I didn't need the fantasy element of saving the universe. Pike going into that area filled with radiation and pulling out those cadets still alive was heroic enough for me. And I like the idea that he did it because that's the person he is, not because he's fated to do it.
He precisely accepts that fate because it's the person he is.
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