However... I do believe that, some years ago, there was indeed a dalliance between BA and UA, which is how we came to the current T7 arrangement, and whilst the dalliance was very short lived, the agreement for the terminal arrangement, was more long standing.
If BA do outright own T7, which seems in my mind to be an affirmative, then maybe it would be better to sell and get rid to release the money from it.