I hate having to repeat myself.
Annex 2 aircraft are not all sub-ICAO. Plenty of them operate on a full (national, but still fully ICAO compliant ) CofA.
There are also sub-ICAO aeroplanes which are not Annex 2, and operate under EASA permits to fly.
Plenty of flight testing is done under EASA. These are not normally Annex 2.
G