And I have reservations about any restriction being based on IAP minima. A couple of hundred feet vertical buffer sounds as if it's a concession to inexperience, but is unlikely to save the poor overloaded pilot who turned the wrong way at the fix, misread the platform altitude from the plate by 1000 ft, selected the wrong VOR (these days I guess it's "flew towards ABAMO rather than ABUMO"), or misheard the ATC clearance and failed to check the MSA. The vertical tolerance with which one flies a profile has a lot more to do with currency and experience than the amount of training one received 10 years ago at an approved organisation.
That makes sense, and another mistake for less experienced pilots is probably "wrongly set QNH". But restrictions on minima would be enough in some cases, I would have thought. For those requiring accuracy for obstacle clearance, or busy ones where volume of traffic would make wrong turns more than usually hazardous, they could simply make the procedure "no EIR".