Move Skyteam or STAR to Gatwick? Are you serious? Inflict a market distorting competitve disadvantage against Lufthansa, Air France or KLM in favour of BA and you'd be in court and lose very quickly and rightly so.
"Fair" distribution? What does that even mean? This is business, not a nationalised monopoly where Whitehall decides Air Canada should move to Stansted (went to the highest levels of govt did that one!!).
Those days are gone, Air New Zealand and Cathay don't want to move back, no one does. Why would they?