My understanding is that ALL FIs have the exact same privileges......one without CPL TK.....can only teach LAPL/NPPL only.
sapperkenno,
You seem to have contradicted yourself.
The privileges of an FI, and how to obtain them, are enshrined in EU Law and listed in Part-FCL. CAP804 is based on (cannot contradict) and quotes from Part-FCL.
Part-FCL Licences (certainly UK issued ones) list the privileges held on them. If a privilege is not listed then a Pilot/Instructor does not have it.
Everyone does the course, passes the FI skills test etc, then goes on to instruct. There isn't one FI course for CPL TK passes people, and one for everyone else, likewise with the skills-test.
How many different courses do you want?
What this means is an FI currently restricted to only teaching for the LAPL does not have to do the whole FI course, and take the test, again once they gain CPL level knowledge - but they would need to apply to the CAA to have the additional FI privileges (PPL, SEP) added to their Licence before exercising those instructional privileges.