I entered my new and better life in Star Alliance by asking BD for a comp. On the phone I was told no way, no how...
So I wrote in with a quick covering letter explaining why I was fed up with EI and its mean TAB programme, a copy of my statement and a photocopy of my card... three weeks later, hey presto, *G!
If they'll do it for Ireland, I'm sure they'll do it for France. And even more so because you have a BA card!
A premature welcome to *G!