I don't completely have a grasp on non diatonic subdominant chords. I'll have to do more reading about it. I thought most subdominant chords were a fifth above a target chord. For instance, we did a version of "I Heard the Bells On Christmas Day" for church. In the key of Bb, everything is pretty diatonic except the last chord coming out of each verse is D7/A with an Gm as the next chord. In my mind, the D should be a 3 chord and minor. I asked the keyboard player (music teacher) and he said that functioned as a Subdominant.
I believe the concept of modal interchange implies directly borrowing the same degree chord from another mode of the initial scale/key. So modal interchange while in A Major might be using Cm7, instead of C#m7. I am not sure how that works when you shift the tonic, as in your example. If G#m7b5 is the 7th degree of A Major, perhaps using G Maj instead is modal interchange from the A natural minor?


