No, not really. Because the character's other needs, as established by setting and basic premise of "you are a person" (IE you need food, water, shelter, and protection/company) would still have to exist. And in fact this is part of the tension inherent in some places in BitD. My character, for example, wanted to discover the truth about the fate of his homeland, and was bound in service to an evil spirit/demon (manifested mechanically as his vice). These things came into direct conflict, with each other, and sometimes with the needs of the other members of the crew. My character still pursued his desires, and the game worked fine, he just still had to do scores and whatnot, and in our game at least, a LOT of the scores were motivated by the PC's personal wants/needs.But wouldn't a Blades in the Dark game disintegrate in a similar way if a character wanted to, say, hang out in cafes and find true love? Meaning, to what @Manbearcat said (or rather my reading of what they said), it seems less about the presence or not of dramatic need, and more about the premise of the game.
I don't know. And I'm not saying that in BitD (or we could mention Stonetop) that the game's organizing premise doesn't shape the territory in which the dramatic need getting takes place. It does! Hugely! But don't mistake "I'm a wizard at Hogwart's" with "I am an orphan who has a deep need to understand what happened to my family." Harry Potter is not about Hogwart's. It is about Harry, and it just plays out in the arena of Hogwart's. No matter where Harry would be, he will be essentially the same. Put Grog Half-Ogre in a different milieu and his "I want gold and XP" motivations will make no sense, nor will you have anything to build an explanation of who he himself actual is except pure imagination.Do the players in The Between, which contain very explicit playbooks and a very very specific genre (Penny Dreadful), really author their characters dramatic need? Again, the premise of the game is doing a lot of work to provide such needs.
I agree that different games treat those needs differently, along the lines you mention. But those needs are system-authored, it seems to me. It might be an academic distinction.