The rules for an IRI have changed in the March amendment to Part-FCL:
Applicants for an IRI certificate shall:
(a) in case of an IRI(A):
(1) to provide training in FSTDs during an approved training course at an ATO, have completed at least 200 hours of flight time under IFR after the issuance of the BIR or the IR, of which at least 50 hours shall be in aeroplanes;
(2) to provide training in an aeroplane, have completed at least 800 hours of flight time under IFR, of which at least 400 hours shall be in aeroplanes;
(3) to apply for an IRI(A) for multi-engine aeroplanes, meet the requirements of points FCL.915.CRI(a), FCL.930.CRI and FCL.935;
SPIC only applies to integrated courses which, by definition, are ab-initio. IRIs cannot teach on ab-initio integrated courses, only FIs can do that.
There is a similar FCL amendment covering FI instrument privileges (which does include SPIC). However, it's been derogated until Sept 2021.