Jack Sparrow: I have no sympathy for any of you feculent maggots and no more patience to pretend otherwise. Gentlemen, I wash my hand of this weirdness.
Davy Jones: Do you fear death?
Jack Sparrow: You've no idea.
Lord Cutler Beckett: You're mad!
Jack Sparrow: Well if I wasn't, this would probably never work.
Jack Sparrow: William, tell me somethin'. Have you come because you need my help to save a certain distressin' damsel? Or... Rather, damsel in distress? Either one...
Will Turner: No.
Jack Sparrow: Well, then you wouldn't be here, would you? So you can't be here! Q.E.D. - you're not really here!
Jack Sparrow: Did no one come to save me just because they missed me?
Jack Sparrow: We must fight... To run away!
Norrington: I had nothing to do with your father's death. But that does not absolve me of my other sins.
Jack Sparrow: Can't spot it. Must be a tiny thing hiding somewhere behind the Pearl.
Jack Sparrow: Send this pestilent, traitorous, cow-hearted, yeasty codpiece to the brig.
Jack Sparrow: Great! Now we're being followed by rocks.
Elizabeth Swann: It's too late to earn my forgiveness.
Lord Cutler Beckett: The brethren know they face extinction. All that remains is where they make their final stand.
Answer: From the point of view of the Dutchman, Bootstrap is dead enough to serve on the ship. The idea is that Jones rescues people who would otherwise simply have drowned and makes them serve on his ship in lieu of death; as such, they can be considered technically deceased. Elizabeth has been into the Locker, yes, but with the demise of Jones, the Locker may not even exist any more. Will's task is to escort the dead into the afterlife, not the Locker - while Elizabeth survived the Locker, the afterlife may be something entirely different. The rules regarding the Dutchman and the duties of her crew are never spelled out, but it seems that, no, Elizabeth cannot live on her.
Tailkinker ★