My favorite by far is the acronym ETLA (Extended Three Letter Acronym), which of course had to be invented because FLA (Four Letter Acronym) is not autological[1].
If the "highly sensitive person" were instead called the "highly sensitive personality construct" it would be much less confusing as an improper noun. It is clearly unwieldy here, but that is partially down to construct being too vague, and presumably down to me only spending 10seconds on the name.
As an example of how "disorder" helps suppose that "Persistent depressive disorder" were instead called "Persistent depression". That would clearly be much more confusing.