Yazoo,
I don't notice a big difference with right or left wing. But, as JC mentioned, because I use Grizzly broadheads, I shoot right wing fletching (also per Dr. Ashby), but I shoot right wing with cock feather in and left wing (fieldtips or other broadheads) with cock feather out. This is for a right handed shooter and on my Widows (PL's) only.
When shooting RH fletch with cock feather out on the longbows my left hand gets sliced by the hen feather. There are more options with leftys and you probably won't see any difference, but you never can tell. It may be more of a mental thing, but you should try for yourself and see. Hope this helps.