Problem
When you expose let's say a menu as a block, you have an "Edit menu" and a "Configure block" contextual action on the block. Now if you go to either, you can edit the name/title/label of the object. They are the same textual value. If you edit the menu title/label, it will not change the block, if you edit the block label, it will not change the menu. Although the block is initialised with the object's title, they are disconnected afterwards.
David Rothstein posts in #663946: Merge "List links" page into "Edit menu" page (followups) that he sees this is a major usability issue. I'm opening this issue to make sure this is tracked, but not sure how how a Drupal 7-like solution would work in the Drupal 8 system. Quoting David:
I think it's probably a pre-existing problem in Drupal 8 (not introduced here), but a pretty major one. In Drupal 7 this would only happen if you deliberately configured the block to have a different title than the menu to begin with. By default, though, it would work as expected. In Drupal 8, there doesn't seem to be any way to have the block title automatically linked to the menu title any more?
Same holds true for custom block instances, etc.
Proposal
Discuss and figure out if we have any good ideas for this.