You are confusing PIC and PICUS.
As an FO ( co-pilot) you log P2 time when the Cdr is pilot flying.
When you are PF you log PICUS and the Capt signs your logbook to verify the entry.
You can only be PIC when you are in command, either as PF or PNF /PM.
Might be worthwhile though going back to them and asking for a clear statement of their requirements, or going to another EU Ops authority.