To be completely honest, I hope there are repercussions such as Faye needing to go to the hospital and all that - yes, in-comic a solution for being passed-out drunk was always having friends watch over you (or not even that.. just washing your jeans and putting you into bed), and that would be enough. In real life, that can and will be deadly (as mentioned in the previous thread) and I hope Marten sets a better example than the last comic; even if you're cautious about calling emergency services because you don't want to put your friend in debt, checking if they breathe/can be raised/have a pulse isn't that expensive...
On Claire: can't say. Could be that that would be something to trigger her anxieties or provoke some mean comments (like, 'So, is Faye stupid or something? Doesn't she know when to stop?)
On enabling Faye by not telling: Well... as others have pointed out, it's been less than a week, comic-time. It's been a few days at most, and while Faye does tend dissolve her problems in ethanol, it's very much a dick move to tell virtual strangers that. Enabling would be helping her hide it from her therapist or her closest friends.