SW does not make the link between the bubble/reference of a folded body and the bubble of an unfolded body! Even within the same board! So it's normal that you can't find your way around! :/
If you want your bubble to be consistent, you need to modify the bubble by hand on the unfolded, or maybe try pointing to a property of the volume body.
Indeed, same effect on SW13. Despite the option being checked, on an assembly drawing, when inserting an unfolded tooltip, the bubble displays an (*)! :/
Insert a Note (Inserts/Annotation/Note) on your unfold, and instead of entering text, click on a speech bubble already in place pointing to the folded part. The bule appears in the note! The link will be dynamic, so there is no risk of error.
The representation will be slightly different from a classic bubble, but it will do the job!
I have 2 views per room, one ISO and one unfolded (I have about 10 pieces, and a configuration for each).
The goal is to find out if the unfolded one corresponds to the ISO view (which has a bubble). Because if I make a mistake with the configuration on the unfolded, and it doesn't correspond to the ISO view, it's not going to work.
"I don't have a list of welded parts, but an assembly bill of materials!"
I conclude that you called a sldasm file in the drawing. On the other hand, you talk about ISO views, how did you create them?
Otherwise +1 for Benoit.LF's idea to display the name of the config in a note, even if it means putting these notes on a layer that will be hidden when printed.
I had the same problem with a star that appears in my bubble instead of the part number.
Apparently, this star is displayed when the configuration of the view does not match the configuration that is in the nomenclature.
To display the part number, you must tick, in the tab linked to the BOM, the box: "display with the same article number" - "display under a single article all configurations of the same part"
I don't know if it can solve your problems but it worked for me.