I would call the response “not an argument” in the sense that it neither proposes any refutation that health care needs improvement, nor any evidence that improvement is not obtainable by reasonable methods.
I would recommend silence as the most useful response.
One of the key points here is that a fallacy isn’t necesarily just something that’s wrong. A fallacy specifically is a flaw in an argument where a conclusion is incorrectly drawn from premises. If your premise is wrong but the conclusion is logical, your answer is wrong but not fallacious. In this case there wasn’t really a premise or a conclusion - so it’s not really a fallacy.
Undistributed middle =/= excluded middle, does it? Aren’t we talking about different things? What I mentioned is essentially the same thing as the false dichotomy.