kraigwy took my answer. You should be at least functional, if not competent, shooting both left and right handed with any weapons you keep or carry for protection. That includes using any controls, reloading, and, obviously, using the sights and being able to hit your target. You never know when your strong hand might be incapacitated or, as brought up here, you may have to shoot with your off hand to maintain cover or concealment.
“Never give in. Never give in. Never, never, never, never—in nothing, great or small, large or petty—never give in, except to convictions of honour and good sense. Never yield to force. Never yield to the apparently overwhelming might of the enemy.”