I start my Super Cub on both mags. I do a left to right cockpit check for vital actions prior to take-off. I don't have a right to left check prior to starting, since apart from the master and primer the action is all on the left.
You need to ask this question at
www.supercub.org, Sean. You will find the most extraordinarily knowledgeable SC owners there who will answer your most detailed questions about the SC in a flash.
QDM