FlyingForFun wrote:"Aircraft with a standard airworthiness certificate that meet above specifications may be flown by sport pilots. However, the aircraft must remain in standard category and cannot be changed to light-sport aircraft category. Holders of a sport pilot certificate may fly an aircraft with a standard airworthiness certificate if it meets the definition of a light-sport aircraft."
So, it meets the definition of LSA, but it's not an LSA. It must be maintained by a licensed A&P (for the most part), for instance.
Your quote is mostly true, but it deals with how the aircraft was issued an airworthiness certificate and not what kind of aircraft it is. The term I highlighted is not in the same order as what the FAA uses. They say Light Sport Category aircraft. The Light Sport category was created as a way to issue an airworthiness certificate to a Light Sport Aircraft that Has never had an airworthiness certificate issued in any other category or in a foreign country.