Comment 2 for bug 727171

Unity now forces the launcher to always be on the left-most display. I attempted to reproduce the issue by setting the right display as primary via xrandr --output LVDS1 --primary, swapped the left and right displays. There does not appear to be a permutation that results in this behavior.

If you can find a way to reproduce the issue in Precise, feel free to reopen and elaborate on the steps.