Many left-handed (or left eye dominate) shooters shoot RH eject autoloaders. They do so because of far better selection, better pricing, and better resale. Gun fit is normally no issue at all, for the majority of autoloaders today have included shims easily set for the left-handed shooter and most safeties are easily reversible.
Manufacturers know LH shooters are likely to shoot RH eject shotguns, obviously. It might be a good idea for you . . . or, indeed not. (Note: the Fabarm L4S will be available in a LH eject version in 2016.)