There is no option currently, no.
ias wroteBut why I can see the collider deformation in Unity in the preview inspector window? When the SkeletonData object is selected.
It seems that the information is being processed.
The preview is a bit misleading in this case, you're right about that. It displays the currently active bounding box attachment at a given frame, regardless of whether it will be used at runtime or not. The information is in the file of course, but it's not utilized the same way in the BoundingBoxFollower
as displayed in the preview currently.
Of course you could adapt the code to update it every frame, however as stated above it's not recommended to do that for performance reasons.