Earlier quoted context omitted.
No, this is the correct answer. This is the answer I'd be looking for if I was asking that question. That you failed to specify the question is a failure on your part. Even stupid models understand that if I ask them the population of Denmark they only need to give rough approximation.
no, i expect the system to answer the question I asked. Not the question it thinks I wanted to ask. The question is not underspecified, because the point of it is to demonstrate how the llm will never tell you it doesn't know. Nor will it ever tell you your prompt is underspecified.
I don't see how "is not underspecified" follows from the point you were trying to demonstrate. Yes, you wanted it to be well specified, because otherwise the point doesn't work. But you actually failed to generate such a question cause both people and AI interpret it differently.