VisibleAnywhere specifier doesn't prevent components from being edited in property windows

Using the VisibleAnywhere specifier in a UPROPERTY declaration does not prevent a Component's properties from being edited in property windows. This conflicts with the description of this specifier on our documentaiton and also poses the problem of having no way to make a UPROPERTY uneditable in UE4.

Regression?: No
This also occurs in 4.16.3

1. Download the attached project
2. Generate project files, compile, and open the project.
3. Drag an instance of the MyActor C++ class into the level
   Result: You are able to edit the Static Mesh in the Details panel, which is part of a StaticMeshComponent UProperty MyMesh that is Private and set to VisibleAnywhere
   Expected: You are unable to edit anything related to the StaticMeshComponent named MyMesh