Ideally, yes. But it could be a "I need to find a new host, or else Madara is going to grab me."-type situation.
That said, there's no indication that the Tailed Beasts are even capable of intentionally possessing a person. So far, it's only happened via jutsu performed by ninjas themselves. There's no real evidence that Tailed Beasts are like ghosts that can just jump into a person.
Of course, the third option for Dark Kurama would be...Obito is obviously falling apart here already. But there's still, like, 6 months of this series left, so I'm guessing Madara takes center stage again. If he grabs the Eight Tails and Dark Kurama out of Minato, then he'll have, like, a complete Ten Tails, instead of the half-assed one that Obito has.
Wait longer. They're, literally, like RIGHT in the middle of a thing atm.