I just find it totally badass, they're having a standoff of ideals, and you can just see Obito and his resolve just being crushed under Naruto's determined glare.
I don't think that's the point where he changed his mind, but instead he was going over what happened in his life that made him feel he was right.
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^the two previous pages show that he was just thinking in retrospect about why he actually believes in what he believes in. It wasn't until later that he (most likely) had a change of heart.