Have LSA and Sport Pilot made Primary Category certification more attractive if the aircraft also meets the LSA definition like the older, lighter Cubs, Champs, Ercoupes, Luscombes, etc.?

If I understand correctly, an LSA-spec Primary Category aircraft could be used for instruction and rental, could be easily exported as a type-certificated aircraft, yet could be still be flown without a medical in the USA by any pilot exercising Sport Pilot privileges. Also in the USA, amateur-assembled kits would still be allowed if under the manufacturers supervision, would not need to meet the 51% rule and would be equivalent to factory-produced aircraft once completed. The only limitation is not being able to carry passengers or cargo for hire--not a big problem for light two-seaters in any case. Am I missing something?

[I am reviving this thread as a corollary to the Icon A5 Request For Weight Increase Exemption Status discussion.]