Welcome to FT!

Yes as noted above regardless of your status you have no ability with BA to move other passengers so you can have a better seat. As a GGL I can’t move anyone just because I like their seat better, not even a blue

Out of interest are there airlines you travel with which will do that? It sounds from what you wrote that you had some expectation they would move someone to your seat so you could have theirs, and I just wondered whether this was born from experience elsewhere?