If you want to reverse a process the entropy increases.

No thermodynamics course uses language like order and disorder. In anything more than a passing example.

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I'm not denying any of that. I'm pointing out that a part of the definition is subjective. See my further on comment linking to Sabine Hoffsteader's video. She talks for most of the video about all of the things I'm sure you understand about entropy, but fundamentally seems to agree with me at the end.