Perhaps an email to Malev is a good idea; do you have an address on hand?
Slightly OT, I am also wondering why my FB card did not grant me access either, as the flight was a KL codeshare. The head lounge nut claimed it was because I was ticketed on Malev as opposed to KL (both flight numbers were on my boarding pass.) However I have been granted lounge access with flying with Aer Lingus to Dublin in the past. In that instance the ticket was issued by EI, but wasalso a KL codeshare.