Except it doesn't surface "those aspects of the show"
The fact remains that those three characters are easily the three most critical and important character on the ship. Which is one of the primary flaws of the test. It doesn't test their agency. On that alone, the test is flawed and cannot accurately represent Voyager.
If you take Enterprise on the other hand, then that legitimately fails since there is a vulcan-human relationship so bad the character even talks about it with her future self.