I have found a red dot makes left-sided rifle shooting much more doable for me.
It can, however, become an equipment issue if you're required to use a sling which prevents quickly switching the weapon to the off-side shoulder. In fast-paced situations it might prove handy to be able to keep the weapon mounted strong-side and be able to shoot around the off-side barricade/cover available.
there is no weak side just right and left. Left barricade, left shoulder firing position.