No. He would just have to transport some ground troops into the system... Causing the Rebel player to reveal the Base's location. Once he does that, he has Habeas Corpus and can confidently let Vader know that the Base has indeed been destroyed.
In my opinion the Base must be revealed for the Empire to win. This can be done either befor or after the Death Star strikes.
How would that grant habeas corpus? I'm not sure Vader would care about habeas corpus. Could you define how you're using it? I've never seen it used that way.