Richard, I had same issue and thought the workaround. Would you try it. Open [Editing Option] dialog. (Editor toolbar -> Editor menu -> Options) Check "Use classic snapping" and close the dialog. Open [Classic Snapping Options] dialog. (Editor toolbar -> Editor menu -> Options) Change the tolerance to 10 pixel(or larger) and close the dialog. Try [Edge match tool] tool again. I was able to work correctly with your data. Once as long as it sets the classic snap, edge match tool will operate normally in the map document. Thank you.
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