@matigo well yeah, for humans it's more about consciousness and personality that defines who we are. But for objects, it's what we assign to them. If you say the reconstructed-from-scraps ship "is the one that went on the adventure" then that's correct… But if even one piece is in the "new" ship, then that ship too is the one that went.
Besides, it doesn't matter which one went on the adventure, because "a ship went on the journey" and whichever is presented is the one.
Museums often keep expertly made replicas of paintings on display to prevent damage and to maintain continuity for when paintings are undergoing repairs. A passing visitor who doesn't know this will believe that the painting she's looking at is the original, and that's fine.