If you haven't got CPL TK then you are "LAPL only". The CRI allows you to teach for class ratings and hour with instructor to any type of licence holder (stanby for incoming debate)
Also a CRI doesn't need any form of supervision so it does give you some operating flexibility
I've applied for some bursary's to do the FI course. It's a pain in the a** as they all stipulate having a CPL TK as a pre-req. I dont understand why we are making it hard given the supposed instructor shortage!
I think you're saying I could do the FI course without the CPL TK, and get the CRI added as part of the CI course. At some latter date I could do the CPL TK and that would then remove the LAPL only restriction
If the bursary pre-req wasnt an issue then I'd do it that way