I don't think we should be thinking of the armor as inductive at all, it's minimally so. It's the resistance of the armor, particularly when the contact between wraps becomes compromised due to corrosion and oxidation over time. That's the reason for the shorting strip under the armor with AC cable. The #10 bare conductor under the armor with MCAP cable is the EGC and any contribution to the conductivity of the armor is secondary.
And I'll say it again, the armor of all MC cable is NOT meant to be or be part of the EGC. It only needs to be bonded to the EGC for safety purposes. So, whether it's inductive or resistive is irrelevant.
-Hal