I think most use their left hand to solve it, partly because blocks aren't solved in order sometimes, causing multiple rotations if you use one of the ways you suggested, which is the very thing ZZ strives to avoid. I use my left hand always for the left side.
Related note, I think most do the z rotation thing for OH, but it doesn't have the best lookahead.
Related note, I think most do the z rotation thing for OH, but it doesn't have the best lookahead.