I disagree with your point of view, that doesn't mean I haven't "bothered" to read all of the previous posts (which I have, each and every one of them).
You intend to strike until BA concedes to your terms, that does not constitute any form of negotiation, whether conducted around a table or not.
You can talk all you like about intent, but the Schedule K agreement does not cover direct flights from the US to mainland Europe and BA are under no obligation to alter it so that it does.
You are holding the BA management, and all of BA's customers and other staff, to ransom.