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Here's the thing, though. The real question is how does his large push affect his likely range? Barry Greenstein has written very well about this in his book. He recounts a hand where he was a huge odds dog to have the nuts, but actually did. The guy who called went into a big odds discussion, but Greenstein points out that, to him, it was 100% obvious he had th enuts since he never would have gone all in otherwise.

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That was on the river of a pot-limit 7-stud hi/lo hand, a game in which massive amounts of information are available about your opponents' hands. As Barry explained it, he knew what the other guy had on 6th after he pot-raised (straight and 6 low), but had a live two-way draw, so he called; he then shoved river after hitting both draws.

A clown at small stakes moving all in for a big overbet on the flop means "he has a piece of it". That piece can be almost anything. People move in with AJ here. Yes, they do.