When I play a lefty the first goal is to avoid his fh cc to my bh. I would keep my fh pounding if possible, bh dtl if necessary.
Playing my fh dtl is very dangerous unless it is a winner or sets up a winner.
The lefty's slice serves kicks to the bh, so normally I would stand a little more to the left on returning.
Mentally I don't think of lefties as better. My slices kicks to their bh as well. I/O shots are also less effective because it is fh to fh.
Watch a bunch of Djoker vs Rafa clips.