The ASA is a later modification and the version of the F-104S to carry AIM-9L. Not the early S or TAF.
As mentioned, this is not under consideration as the ASA is 11.3 with 4 x AIM-9L. The 104S has 6 x AIM-9J and is at 11.0.
The F-104S moved to 11.0 because of its high efficiency at 10.7. So its also not going to receive even better missiles on the back of that.