The above documentation explains to restore a backup from one server to another.
Here the URL, Path, and domain name remains same.
For eg: From one cPanel server to other the URLs, paths and domain name do not change usually and even the permissions remain the same.
And if you restore a backup from localhost to a server then you might face permission issues, the URL will change due to localhost and the paths will also change.
Hence you might have to change them manually.
For using the working copy of Joomla from the server to localhost you can follow following steps:
1. Export the database from your server and import it in your local MySQL server and copy the files and paste it in the /PATH/TO/AMPPS/www/ folder
2. Change the URLs and paths of your server in the database.
3. Change the database settings in the configuration.php according to your database and make other required changes in the same file.
4. Then you can Import it to AMPPS using the following guide:
http://ampps.com/wiki/How_to_Import_an_Installation 5. Now you can make changes and then while uploading you can upload all the files except the configuration.php and import the new database with the changes made for the URLs and paths.