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Mephista, your overview of the flavor drift feels accurate and useful now for 5e. Essentially, Lolth Drow culture promoted female Cleric and male Wizard (and probably add Fighter here too). But the free anti-Lolth Drow culture favors Warlock and Rogue.
The genius is, the suboptimal Lolth Drow culture can become a feature, not a bug.
It is abnormal for Drow to be Cleric and Wizard so frequently. But it is the Lolth reign of terror that imposes these classes unnaturally. The Drow performs as poorly as the Half-Orc at being a Wizard. The Drow performs as poorly at being a Cleric as the Gnome does. The spider demon culture goes against the grain of Drow nature.
Part of the reason the rebel Drow prove so successful is, they are discovering survival strategies (combat classes) that Drow traits naturally select for, for an advantageous evolution in Drow culture. The innate advantages of Dexterity and to some degree Charisma, allow Drow to flourish at the implementation of Rogue endeavors, and to a lesser degree Warlock.
The narrative informs the prominent Drow character types.
A terrorized tradition of female Drow Cleric alongside Drow Wizard and Drow Fighter, versus a free and empowered rebellion of Drow Rogue and Drow Warlock.