I've heard a few different things...the MH-60S is set up identically on either side with the exception of the rotor brake (which I imagine all Navy H-60s are the same...it's on the right)...
Part of the reason that it's never mattered in the HC community is during a VERTREP, you'll switch controls everytime you're over a deck (ie, right side goes in for a pick, switches controls on the transition to the drop deck, left side takes it for the drop, switches controls on the transition to the pick deck, etc...etc...etc)
That's one reason that you'll not find too many in the HSC world pushing for the NFO in the front...can't switch controls in a dynamic environment.
A few more:
1) helo restrictions to an LHA/D, you'd tie the hands of the boat donkeys (no offense to you out there) to restrict night landings to certain spots (ie, no x-cockpit landings behind a spinning tail rotor aircraft, etc).
2) VERTIGO. Has happened numberous times. No more "2 challenge, minute to the deck"...my 3rd night flight to a single-spot ship and my HAC got it so bad, he refused to touch the controls...
3) Simple ORM - how many times have you landed with the wind "on the edge of the wind envelope"...now try it x-cockpit.
4) You're in a damn helo, if you get lost, land, figure it out and take back off...who needs a FO?! I mean seriously, when was the last time a helo got lost or needed to navigate...it doesn't go far/fast enough to really get into much trouble! Minus that guy who landed his H-60B on a Japanese oil rig a few months back...
~D