Of course, I was solely responding to the full service query, which I assumed OP was inferring to the course-by-course service
From BA's own press releases, I believe there will be some interim CW improvements though, of which removal of coverings and improvement of menu itself might be on the cards. So I don't think it'll be a slog until Autumn with this current service/product standard. I would expect sometime before the British summer season, in time for holidays, is when an improvement there will take place, as a pre-cursor to resumption of "full service" from Autumn.