While I doubt I would have ever tried to book F awards on Korean anyway, it's pretty absurd that they can't be booked on AF either. I can get them on QF which isn't even part of the alliance!!!
In many ways Skyteam appears to be a sham, and I'm glad I've transitioned over to OneWorld, even if I have to transit via LHR (which I guess ain't really any worse than CDG)