BASSA maybe many things but I do not believe that having been humiliated in court that they will be stupid enough to screw up a second ballot due to database errors. They will simply misjudge the public reaction, and BA's reaction to this strike.
The real issue will be how they can sustain a strike if they lose the court case in Feb, the vilification heaped upon them in Dec over the failed strike will return. This would allow WW to impose a lot more upon the CC community than they are seeing at the moment.
BASSA missed a massive
PR coup when they refused to implement the DA - put simply they looked petulant and it achieved nothing as BA imposed it anyway. This will be brought up again in the press when BASSA try to say that they have the interests of the traveling public at heart. Even being correct now may not be enough, strikes do need public support - or at least no public antipathy to succeed, being hated by the British public can persuade many weak people to break a strike.