mandyconn - BA's legal team will have been following every move by BASSA like a hawk. Also, do not be surprised if BA's lawyers try and find a new/novel legal argument to stop a strike.
In any event, as soon as BA instructs its lawyers to stop a strike, BASSA will also have to instruct its laywers. So on both sides lawyers will have their meters running and costs will start racking up (which for High Court proceedings will get to six figure sums in absolutely no time at all), and if BASSA loses in court it will have to meet its own costs and BA's costs as well.
So BASSA had better to be sure it hasn't put a foot wrong throughout the whole process, otherwise it will get nothing more out of this than a huge legal bill.