We'd get a somewhat sexist opening episode in the stardate case, but on the other hand, TOS would go out with a real bang!
Speaking of stardates, "Girls" and "Dagger" form one of the few cases of potential overlap. "Miri" in between extends over the starting date of "Dagger", and seems to start only one stardate after "Girls". It's sort of fitting that the first two episodes both take place out in the sticks, but would an important penal colony also be in those distant reaches where Miri's anomalous planet has been hiding from human discovery until Kirk's visit?
It's an unfortunate case of non-serendipity, as all the other episodes actually work really well in stardate order, often much better than in airdate or even production order...