What is the difference between Manage Positions Trees and Parent Positions Hierarchy?

Summary:

Could anyone please provide further clarification regarding the use of Manage Positions Trees and Parent Positions Hierarchy?

Specifically:

When creating a new child position and assigning a parent position in the Position screen, does this hierarchical relationship automatically synchronize with the Position Tree displayed in Manage Position Trees?

In other words, does assigning a parent position during position creation automatically reflect in the Position Tree, or are these two separate hierarchies that need to be managed independently?
If not synchronized, should updates be made manually in both the Position screen and the Manage Position Trees in order to keep the hierarchy consistent?