The E-LSA certificated plane is the one that the 16 hour class applies, but only to a qualifying E-LSA aircraft that you own. (My Yellow plane is E-LSA and I have the inspector's license for it) With the 16 hour class you can sign off all repairs and inspections required on the aircraft you are licensed to work on.
S-LSA certificated planes would require the 120 hour Light Sport Repairman's certificate. Which would then allow you to work on any S-LSA or E-LSA aircraft.