Coumpound parent not showing child stabilization

I moved video and audio clips into the timeline, selected them both, and did Synchronize Audio, which creates a compound clip. Some time later, I opened the compound clip in the timeline, selected (all of) the video clip and turned on Stabilization for that clip.

When I open the parent clip from the Browser and select the video clip in there, it indicates that Stabilization is NOT turned on for that clip. (I still see it as On when I open the children in the timeline.)

Perhaps related: At the top level, I cut the instance of the clip in the timeline and added a transition into it. I believe this leaves me with two child instances of the parent. I opened one of those child clips and changed the translation value in the stabilization section. I then “history-back” and open the other child. Both of these are supposed to be copies of the parent, but I still see the previous value of the translation setting in that other child.

Is this a translation-specific bug, or do I not understand the well-documented relationship between parents and child compound clips?

Thanks!