Yes I get this now, but I wonder if anybody has proven this, because the FTO (final 10hrs) can fairly freely screw you around (and I am awfully familiar with that too).
Also a “full IR FI” is a rare animal on the UK PPL school circuit, not least because it is more £££ to the CAA every year 
When somebody I know was looking at the IMCR → IR route (he never did the IR in the end) I found it surprisingly nontrivial to extract that little bit of info from some IMCR FIs 
You have 3 instructor options
*if you look at the instructors rating it will have some letters attached to it. (H) means they can teach for the IR. If its marked (H)IRR means they can only teach for the IMC rating.
There is of course some oddities as you have to pay to add such privileges so some people haven’t. Also where people have lost all IR privileges as they never kept it current for more than 7 years yet their FI rating is still marked at (H)
