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I'm fairly positive the answer is going to be a short and not-so-sweet "no", but......

Is there any anecdotal evidence that if you ask in a tactful manner (and make clear you will not try to appeal the decision/take it to court blah blah) that a school will explain why your application did not warrant admittance?

When you look at LSN and see everyone in your area green and you get dinged it makes you wonder. Especially when you've been accepted elsewhere so you are fairly confident there wasn't anything glaringly wrong with your app.

I've heard of this being done, but not in the way you phrased it. Instead of asking "why did I not get admitted," ask "what could I do to make my application stronger in the future." Many probably won't give you the time of day, but once it's the off season for admissions, some nice adcomm might take the time to write back.