My leftie was always my slackest producer too. It's very common for women to have one bb that produces more than the other and it is usually the RHS. One theory is that right handed women hold their babies better with that hand and the baby drinks better, meaning the demand on that side leads to better supply. But it's just a theory.

I bf my DD for four years, so leftie never held us back! I used to start on the LHS, then switch to RHS and then football hold on LHS to get her to take more, but in my case it was more because I was so prone to mastitis that I didn't want to overproduce on RHS or not drain the LHS. You could happily bf from just one breast without any trouble, so whatever works for you. Your baby will still get plenty of milk.