As far as I understand it, the original thread was about whether this distinction exists at all. That is, my understanding is that the whole thread is about opposition to the Quanta article's assertion, which suggests that thermodynamic entropy is the same thing as information-theory entropy and that it is not a "physical" property of a system, but a quantity which measures the information that an observer has about said system.

If you already agree that the two are distinct measures, I believe there is no disagreement in the sub-thread.