I'm fine with either, though I'd say LH on the RW is my favorite. Only thing I hate about that set up is taking the breakout pass from your own zone is a pain sometimes when you gotta receive it on your backhand.
I'm a right shot and I usually play left wing. Easier to get a shot off quick on the pass. Sometimes I do switch. It's much easier to pass on your proper wing.
That's what I've found as well so I'll play a different position depending on what is needed from me. If I'm the better finisher on a line, I'll play left wing (my off wing) where I can get open for one timers more often. If I need to set other guys up more, I play right wing where passing feels more natural and if other people are crashing the net on a rush, I can take a slapshot more in stride and try and cause a rebound (or score, pending on the angle I've got).
When it comes down to preference though, I prefer playing on my off wing.