Do some more reading at the link you provided in these paragraphs. I think that will answer your question.
§65.80 Certificated aviation maintenance technician school students.
§65.81 General privileges and limitations.
§65.83 Recent experience requirements.
§65.85 Airframe rating; additional privileges.
§65.87 Powerplant rating; additional privileges.
§65.89 Display of certificate.
§65.91 Inspection authorization.
§65.92 Inspection authorization: Duration.
§65.93 Inspection authorization: Renewal.
§65.95 Inspection authorization: Privileges and limitations.
A certificated mechanic with an airframe rating can approve and return to service an airframe, or any related part or appliance, of an aircraft with a special airworthiness certificate in the light-sport category after performing and inspecting a major repair or major alteration for products that are not produced under an FAA approval provided the work was performed in accordance with instructions developed by the manufacturer or a person acceptable to the FAA.
A certificated mechanic with a powerplant rating can approve and return to service a powerplant or propeller, or any related part or appliance, of an aircraft with a special airworthiness certificate in the light-sport category after performing and inspecting a major repair or major alteration for products that are not produced under an FAA approval, provided the work was performed in accordance with instructions developed by the manufacturer or a person acceptable to the FAA.
and further past the A&P ratings above is IA:
The holder of an inspection authorization may—
(1) Inspect and approve for return to service any aircraft or related part or appliance (except any aircraft maintained in accordance with a continuous airworthiness program under part 121 of this chapter) after a major repair or major alteration to it in accordance with part 43 [New] of this chapter, if the work was done in accordance with technical data approved by the Administrator; and
(2) Perform an annual, or perform or supervise a progressive inspection according to §§43.13 and 43.15 of this chapter.