Deluded or not, BA has to deal with someone to represent the 5,800 "yes" voters.......
Whilst one would prefer it to be PC3 or a re-formed bassa, no Employee Relations situation that I have seen has enabled the employer to walk away from such a large yes vote, and their representatives.
Neither can BA recognise PC3 just because they are not bassa. BA have to live in and deal with the real world.