> people can understand the analogy, and think that it fails to capture the entire situation, and so extend the analogy to make it obvious (although clearly not to everyone) that the analogy is lacking, and not very convincing.

Of course, that could definitely happen. My point is that I don’t think it did in this case, and that it stretched the analogy so far beyond its major points, that it made it clear to me a pattern that I have seen several times before but could never pinpoint clearly.

I am grateful to that comment for the insight. Understanding how people may distort analogies will force me to create better ones for more productive discussions.