Interesting. I have not considered that. It is awkward, at least, but I understand the ad hoc logic: 'there are only several things among many possible that he demands'.
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Anonymous"One of the only things he demands is that we keep the coffee room clean."I would write "One of the things he demands is that we keep the coffee room clean."
Yoong LiatAnonymous"One of the only things he demands is that we keep the coffee room clean."
I would write "One of the things he demands is that we keep the coffee room clean."
Is there a difference in meaning between your version and the original?