With the idea that it would essentially be a very similar result to the Black Death wouldn't the overall effects on society be a bit different since it isn't the same society as when the Black Death struck? As far as i know the population of the early 16th hadn't fully recovered to pre-black death populations so if a another terrible disease comes about isn't its effects going to be a bit different from a Black Death.2?
Philosophically? Yes, probably.
Scientifically and medically? Maybe.
Politically, demographically, economically, socially, and militarily? No, you're looking at a formula episode - same plot, new cast.
Unless you have a very, very weird disease, of course. Jared's LoRaG Marnitja has delayed unpredictable lethality after an apparent return to health. Perhaps you could have a disease that keeps the victims ill for upwards of a year or something. Even then it's more "monster of the week" than fundamental change.