Yes, logic is a very specific method of defining and coming to truths. But even logic is itself based upon some form of worldview, it is not itself outside of a worldview.
The problem is, that nobody will say they throw out empiricism, but that at the same time there is a huge range and different understandings of what empiricism is and what level of truth it establishes. Even idealism doesn't throw it out, but simply doesn't rely on it as a first entrance towards the concept of truth/reality.
p = p is objectively true within a specific world. I can only refute it if I do not subscribe to the fundamental nature of that world. Only when I belong to that samen world in which p=p is considered true, can I discuss whether it is true or not. When I am outside of that world, that doesn't make sense. This is what Wittgenstein referred to when he defines 'nonsense'.