I recently purchased a 1TB Ls Pro Duo and has similar issues.
I finally discovered that WOL was activated by a service named "NAS PM Service"
For some reason this service is configured as "automatic" but never starts even when launching NAS Navigator.
You can activate it manually by going to ControlPanel --> Administrative Tools -> Services, check its status to see if this is your issue as well. Click on start if not live yet.
Or at the CLI say:
$ net start "NAS PM Service"
The NAS PM Service service is starting.
The NAS PM Service service was started successfully.
To ease this I created a desktop shortcut.
Hope this will help you as well.