Sorry, that's just egregious abuse of terminology. Either you're pruning the branches of a tree (or other graph, potentially) when you're doing a tree search, or you don't do pruning. Specifically advice taking (if that's what you mean) is not pruning.
It's a direct quotation from your comment, not a "scare quote". How does "implicit search" do pruning? Can you explain?
Edit: Turns out "implicit search" is actually a thing in the literature, albeit introduced in a single paper I could find that claims Diffusion Modelling does it: