Advice
I have entered a number of comments on this subject and have been assumed to be an independent travel agent. In fact it is my wife who is the agent but as a former Royal Air Force officer and now a mere PPL have a keen interest in the fortunes of BA - as well as having many pilots as friends. However, in my current role as a Business Adviser, albeit to medium sized companies rather than large ones I can see the outcome of a strike possibly hurting the pilots more that the company. BUT in either case damaging long term prospects in one way or another for both.
Being a union leader - and a BA manager for that matter - is is not easy in a conflict situation but my experience tells me THERE IS ALWAYS A COMPROMISE somewhere. I do not wish to see the pilots remain dissatisfied neither do I wish to see BA damaged so the answer has to be some give on both sides.
Even if the BALPA negotiators feel there is no give they must endeavour to find a way to keep talking. Perhaps the pending strike may just make the management willing to have one more go. If they do for goodness sake take it. There is a solution out there. Good luck.