if it's some hallucination that takes the Lust Doll to another dimension and the player knows it as an "island", it must be someone very powerful to do this and affect the character's status, let the theories about the game's lore begin!
visually yes, the same, during the battles on the island it still has the powers of the parasites, and because I'm explaining this if you are the creator of the game and you know everything, XD, to me it seems to be the same as the one in the science lab.