You can restrict which users will be able to edit staffing timeline macro by changing Confluence page restrictions

To do this, go to Restrictions option in a  way as illustrated below:

In an opened prompt, click here (1) to open a drop-down menu with three elements:

After selecting particular position, like presented above "Edition restricted" (2), prompt view should change:

Now it's possible to find a person to whom restrictions are to be applied (1) and press "Add" button (2)

(warning) You are able to do it only for Confluence users, external users (resources) are excluded.

 When all is done and set as wished, press "Apply" (3) button.