I want an ability to rename an embedded image.
Perhaps I don’t like the nonsense somebody else used to name it before embedding.
Or I just want to give it a name in Links, to be able to distinguish them better (and no, renaming an item in Layers does not do that).

And please consider the other similar request about renaming a linked image:
https://illustrator.uservoice.com/forums/333657-illustrator-desktop-feature-requests/suggestions/45706090-rename-linked-file