A "ground rule" double is a double as defined in the rules governing play specific to a particular field. Since the scenario described here is covered by the official rules, it is not a "ground rule" anything. A ground rule double would be something like "If the ball goes into one of the many ground squirrel holes in left field, the batter will get two bases."
A home run is a (book rule) home run if it meets the requirements in the official rules (e.g. it goes over the fence). A ground rule home run might be one in which the ball hits a power line in center field, but *would* have gone over the fence had the power line not been there.
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