According to a German publication Iraqi Airlines are/have regained authority to fly to the UK Sweden and Germany with own aircraft and in fact an A320 YI-ASB operated BGW-MMX-LGW-ISU with scheduled flight number today.
Its my understanding that they were excluded because of mx record deficiencies with the 738 fleet so the use of a 32x seems logical.
Now whats the likeness of a return to Manchester soon ?