FWIW, I contacted Rainbow, and they confirmed that part 43, does apply to the E-LSA. They referenced my operating limitations, and sure enough, in my specific operating limitations, reissued to me after the course, it specifically states the condition inspection must be in compliance with Part 43 (also the manufacturer's maintenance checklist).
Steve at BCT
Flying a built ELSA (When the President isn't in Palm Beach!), just passed 205 hours