I am left handed and I just learned everything as taught in class and then practiced on both sides on my own. I love having 2 sticks in hand though because it gives a balanced feeling and you practice everything on both sides as a rule.Growing up, everything was taught right handed and the instructors would say..and you left handed people do it the other way..very frustrating!! It is better for me to just learn as it is taught and develop my weak side and then practice on my own.Many people do not understand the way a left handed person thinks..especially a left handed person who is actually a right handed person and became left because of brain injury at birth! So I am pretty ambidextrous but my grip is weaker on the right due to the injury.I have found that my left handed movements adapted to a right handed world confuse right handers to no end.
My thoughts...work both sides.
When I teach lefties I want them to use their left hand for two reasons; 1. Its thier dominant hand and 2. It give the righties experience against left handed fighters. None of my left handed guys ever use their left hand because they say its too much work to translated the movements. Ultimately the choice is theirs, if they want to use their left hand, they can, if not, they dont have to.