Those articles all seem to be criticizing the AA in particular, which is fair enough I suppose (I have no knowledge either way). It doesn't seem to indicate that alcoholism is something you can "defeat" and then no longer worry about. Addictive personalities exist, and carefully staying away from your particular boogeyman seems like common sense. Remember also that we're dealing with comic book time here, and it's probably been less than a year in-universe since Faye went from functioning alchoholic to...not. Her life isn't exactly in a stable place at the moment, what with the new start-up business and all that.
In particular, this is exactly the sort of behaviour she's trying to avoid. She just had a stressful conversation with Sven, and now she wants a drink to cope with that. That, to me, seems like a very bad idea. If she's going to re-introduce alcohol to her life it would need to be on her terms.