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I would think that having it known that you're short-listed at some places would help rather than harm your chances at other places. If some department ignored your application because they failed to notice anything special and it was one among $N$ (and $N\to\infty$), knowing that you're on some other place's short list might cause them to take another look. You're probably worried that some departments will assume that you'll get an offer from better places, with which they can't compete, so they won't seriously consider you. I doubt that this would be a real problem; hiring committees are well aware that there's a difference between being on a short list and actually getting an offer.