you can flip the actual output polarity of one coil of a P pickup and get away with it because the two coils never both "hear" the same string.
you might still get a little weirdness around the D and A strings, especially if they get bent to where they drift into the zone between both coils.
you might still get a little weirdness around the D and A strings, especially if they get bent to where they drift into the zone between both coils.