This is more like an ending for the original series.

The original ten-episode series ends with Himura seeming to have perished with the cult leader, but at the very end, someone turns up at the landlady's house (possibly Himura).

"Another Story" reveals that the person who turns up at the landlady's house is indeed Himura. He has not died, and neither has the cult leader.

However, "Another Story" doesn't continue the story about the cult leader. Instead, it contains a flashback to Himura and Alice's university days. The case Himura solves is one related to the death of a singer. It gives the impression that another case is added in because it isn't enough to show that Himura has not died. "Another Story" isn't any more interesting than the rest of the cases in the original series. Neither does it offer proper closure apart from revealing that Himura has not died--the cult leader is still alive too and it is suggested that she will continue to be an antagonist.

This is OK as an unofficial Episode 11, but don't expect it to bring the series to a new height.