You can save an existing template to update it with any published names you added to your asset after assigning the template.
Any published name from the pinned asset that is not in the template file is added and the template file is saved.
If you plan to share your template file with other users, you should write-protect the template file to prevent others from overwriting your original template file.
Templates are saved (by default) in the assets sub-directory of your current project.