Does buffered data last through an interface server reboot?

In the following situation:

- The historian server with the data archive is shut down at 1:30 PM

- The server hosting an interface with buffering enabled is rebooted at 1:35 PM

- The historian server is powered on at 1:40 PM

Would the data that had been buffered from 1:30 to 1:35 be lost, or would it be written to the historian server when the historian server was eventually powered on at 1:40 PM? I know that data from 1:35 PM to 1:40 PM would only be buffered if disconnected startup is enabled.