There should be an Locked and Anchored Indicator icons after selecting a part, whenever it’s locked, anchored, or both of them.
Here’s a concept of it shown at Both Viewpoint and Explorer;
Indicator Icons when using Movement Tool as Local
Indicator Icons when no longer using Movement Tool as Local
The Indicator Icons show up in the selection list whenever part is Locked or Anchored, also shown in both images.
The White Icons with Black Outlines is a crucial thing to differentiate the icon from the environment.
Sorry if i’m using the wrong tags for this post, also, this feature idea could be made into a plugin, But i’m no expert on plugins yet!