It appears you are wrong. See theavionationi
st.com/2024/06/11 something.
The F-16 database is compatible with the Storm Shadow, the problem is where to carry it. The F-16 wing pylon has a weight limit of 2,500lb, the SS weighs about 2,800lbs. which also introduces issue of asymmetric loads in pitch, roll, yaw etc and relevant clearances.