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.