> Peanut butter definitely is. Even if you make it home-made you need to add some sort of oil to get the persistent creamy texture, but it naturally separates.

Depends on how you make it - it's definitely trickier at home to get a creamy texture without extra oil, but with the right machine (i.e. peanut butter maker) it comes out smooth with just peanuts (and salt if you like); some wholefoods shops have the machine where you can make it yourself.

Many store-bought peanut butters use oil as an additive as the peanut oil is more expensive, so they remove that to sell as peanut oil, and replace it with cheaper oils