Does this with details of section views in drawings as well
So, after much convincing, I finally have my VAR admitting that this is a bug and they're going to submit it as an SPR. When I have the number, I'll reference it here.
This was their "workaround". They suggested I just try and offset where I'm anchoring the balloon... which then also attaches to a different component, changing the balloon number. :: facepalm ::
This is officially a bug and has been logged under SPR 978147.