They can call themselves whatever they want. It doesn't change the fact that they were solemnly excommunicated well before the sack.
Now then, about those ever-loving and blessed servants-of-God of holy and eternal memory who beheaded Cardinal John, the Papal Legate in AD 1182 and then murdered much of the rest of the Latin community of Constantiople, sparing neither the elderly, women, children, monks, or priests, and selling those not killed into Turkish Slavery ...
Shall we start discussing THOSE Greeks as representatives of all Orthodox Christians?