With the loss of A, then you still have the AB and CA coils energized, just in series connected to the B and C supply legs.
If you had three separate transformers making up your bank, then with _balanced loading_ I would expect equal voltage division between the AB and CA circuits, with the two associated secondary coils at half normal output voltage. The secondary coils would all be in phase or inverted relative to the other secondary coils.
With non-balanced loading on the secondary (with separate transformers), the voltage on the AB and CA circuits would change, in similar fashion to voltage division on a split phase system where the neutral is lost.
I will need to think more on what happens with a common core, and if this tends to balance out the voltages or not.
Even with only one primary coil energized on a common core transformer, you would get voltage induced in all of the secondary coils, so my hunch is that this would tend to balance out the voltages seen with non-balanced loading.
-Jon