Nobody said you needed only 200 hrs to become an IRI. The 200 hours requirement is to extend the privileges of an FI certificate to allow instruction for the IR, which is not the same thing.
FCL.905.FI - Privileges and Conditions
The privileges of an FI are to conduct flight instruction for the issue, revalidation or renewal of:
....
(g) An IR in the appropriate aircraft category, provided that the FI has:
(1) at least 200 hours of flight time under IFR, of which up to 50 hours may be instrument ground time in an FFS, an FTD 2/3 or FNPT II;
(2) completed as a student pilot the IRI training course and has passed an assessment of competence for the IRI certificate.