Setting aside coding agents.. we really need this information to even pretend to evaluate the claims of stuff like mathematical breakthroughs, which is exactly why we will never see it. Very embarrassing to get the right answer for the wrong reason. But to give the models some credit, you could argue that even paying too much attention to the thinking is misunderstanding how CoT works. The argument would be that thinking in LLMs isn't really thinking, that it's self-reinforcement and circling to to encourage stability around beneficial attractors instead of degenerate ones. Can't have it both ways though: either the thinking is thinking and so it should be correct. Or the thinking is NOT thinking, and it's NOT real justification for the outcome, and these systems are even more hopelessly opaque than we usually assume.