IMHO Windows 7 is better than Windows 10 so I can't understand why anyone with a Media Center PC would want to upgrade to Windows 10.
Error: 0x800f0922 when installing a Windows update in Windows 10 is apparently very common. It can be caused by 3 issues:
1. Low System Reserved partition space. When there is no enough free space for the system reserved partition, the computer will not be able to load new Windows 10 installation files without an error code such as 0x800F0922.
2. Failed to connect to Microsoft Windows Update server. VPN connection or Firewall settings etc.
3. The .Net framework installation portion of the Windows 10 update faieds. This seems to be the most common cause talked about on the web.
DISM errors (Deployment Image Serving and Management) are also a common theme. In fact the version of the Media Center Pack you are trying to reinstall specifically mentions DISM errors being fixed.
There is a nice troubleshooting page for Error 0x800f0922 here:http://www.todo-backup.com/backup-resource/system-backup/windows-10-update-with-error-code-0x800f0922-issue.html
If it was me, I'd go back to Windows 7 and never have to worry about Microsoft's updates breaking Media Center or Windows.