I have the benefit of two weird things. First I'm pretty much ambidextrous, and second I don't seem to actually have a dominant eye. That, combined with practice, means I can draw and shoot with either hand and consistently get these sorts of results.
(Single handed, pretty small (5") target, rapid "Self Defense" shooting speed)
Tiny little Bersa Thunder 380 Concealed Carry model drawn from pocket holster and fired.
To me it makes no sense at all to neglect one hand in favor of totally training the other.
Or taking my time and shooting slower (with a longer barreled CZ-75)
5 shots each from a ready stance.