To clear things up. FI(R) is "Flying Instructor (Restricted)... Until the new FI(R) holder has given 100 hours of dual instruction, and obtained 25 solo sign-offs (excluding first solo's) while being "supervised" by another FI, they will be restricted. This restriction means they can't send anyone on a first solo, or first solo Navex, and they are to be overseen by a supervising FI.
Once they are unrestricted, they can do everything in an FI's remit and don't need their hands holding by a responsible adult. Interestingly the rules are rather vague about how the supervising FI is to go about their supervision.
So on passing the training and flight test, the licence holder will become an FI(R). Once they meet the requirements to lift the restriction, they pay some money to the CAA (no big ****ing surprises there then) and get a new page for their licences (which hopefully they haven't cut up) showing they are now an EASA FI.
Then they can happily instruct for the PPL (if they have EASA CPL theoretical knowledge exam passes) or just the NPPL/LAPL if they don't...