@SimonDifford Not saying you are wrong, I have never been at Townhouse or LAB not have I met or chatted with Douglas, but I did check multiple interviews with him and in all of them he shows to do it with puree and without lime, and he even remarks that lime does not belong and puree is essential. I do not know why we have a different recipe. Here are my sources: 1) https://punchdrink.com/articles/bartender-douglas-ankrah-pornstar-martini-cocktail-recipe/ 2) (this one is in Dutch) https://www.entreemagazine.nl/dranken/de-evolutie-van-de-pornstar-martini-een-gebakje-in-een-glas 3) A video of Douglas himself demonstrating how to make a porn star martini (just weeks before his death btw, he only lived till 51) https://www.youtube.com/watch?v=Wd5nkhK_8_w . Personally I think the recipe I posted is true to his recipe, based on these sources which seem pretty convincing, so I think there should be no lime, and you need puree.
Note that unlike the current picture, you probably want more foam on top, which you should get from properly shaking passion fruit purée.
Also note that originally no lime belongs in a Porn Star martini, the passion fruit itself already provides enough tardness (said Douglas Ankrah who invented the Porn Star Martini)