Well, without clear knowledge of who or what 'Wolfe' is in relation to 'Pulp Fiction', it's difficult to precisely define its contribution. But let's assume Wolfe is a new character in a sequel or a reimagining. He could bring a fresh perspective. Maybe he has a different moral code compared to the existing characters, which could create interesting conflicts. For instance, if the original 'Pulp Fiction' characters are mostly criminals, Wolfe could be an outsider trying to enforce some sort of justice, and this clash of values would add depth to the narrative.
If 'Wolfe' is a character in a non - traditional 'Pulp Fiction' work, his contribution to the overall narrative would depend on his role. If he is a mentor - like figure, he could guide other characters through the seedy underworld shown in 'Pulp Fiction'. He might offer insights or connections that help the story progress, perhaps by revealing secrets about the criminal elements in the story.