OK, back on the subject.
None of the alliances have a real interest in admitting LX.
LX suffers from the same vain idiocy as did SR. It is often described as "believing your own PR".
In the industry no one believes that they will make it in this new form and they look like a bunch of also rans in their first days in business.
Star does not want them as there would definately be regulatory concerns and besides LH and OS have been crushing them successfully anyway.
Skyteam is still of the opinion that they invited SR into their alliance and SR spurned it. We all know what happened to SR afterwards. For LX then to arrogantly asy that they were going to have a "beauty contest" was pure arrogance.
If one were to investigate, they would see that both Star and Skyteam said no thank you to Swiss and not the other way around.
As for OneWorld, what possible real advantage does Swiss offer these carriers? The days of having more carriers in an alliance just to have them is over. Those days ended over a year ago. LX has very little to offer an alliance, and OneWorld knows that.
To believe that BA sees them as a future threat is pure idiocy and shows a real lack of knowledge of the European industry for the last 5-10 years. BA has no interest in letting LX get any of their revenue and is fighting a battle with a lot of other factors, LX isn't really one of them. I am sure that the high level negotiation may be taking place with a high level person at LX, and perhaps a junior route planner at BA. For that matter BA was able to improve their business PAX load the last few months to Switzerland due to SR/LX woes. Why the hell would they want to share that, and also risk having to give up LHR slots? Switzerland is simply not that important.
As for the AA alliance, what does it bring?? 100 Pax a day max? Its basically the same as they had before and does AA no harm.
LX is desperate and maybe if they survive a year an alliance may be interested in them. As for now survival is vital and trying to maintain unattractive hubs (remember, they now have two Basel and Zurich) is enough of a losing rear guard action.
In short, do not hold your breath.