I was in a a similar situation when flyinjg out of PHL on US Airways last year. Took a screenshot of the Aegean M&B overview page which indicated my recently acquired *G status. It gave me the extra luggage. Also showed the print to a lounge receptionist and asked if I was allowed inside. Did not demand access and did nothing to push her. She very kindly told me that she was not supposed to let me in .... then she smiled and let me in anyway
S.