EDIT: The issue here is that GD stacks appear to be target-specific, so every time target changes, stacks start accumulate separately. This also means that multiple sets of stacks can exist at the same time -- this may or may not be WAI. My original conclusions about Inspiriting Presence was wrong.
====================
Every time the buff is consumed, I seem to lose all Gallant Display stacks, even when I'm not using Inspire. This shouldn't be happening. Also, it wasn't happening before 12.1.
Looks like the Master of War fix that was put forth in that patch broke Inspiriting Presence (especially given the laundry list of other IP issues listed in the Bullroarer forum).