Not that I know.

The list of companies based at WTS is as long as your arm. I wouldn't read too much in it: BA at LGW is already at market rate for crew, market rate for Engineering, outsourced below the wing, in the future outsourced above the wing and the HQ is effectively 50 people at best. The planes are either leased (G-GAT, and believe me they went for the cheapest of the lot) or fully depreciated (the 777s). There's very little chance for LEVEL to be reducing costs even further and I daresay that it isn't, barring Covid-19 changes, indicated for some of the routes. There is still demand for a Club product out of LGW.