When one folds a piece of paper length-wise, or in some particular way, the result is a crease in the paper. I don't recall ever seeing wrinkle being used for specific crease patterns. Like pleats, or accordion folds, these could be described as creases. Not as wrinkles. Wrinkles are usually not specific organized folds or designed surface features the way creases are.

If you unfolded an origami figure, you would have a piece of paper with specific creases/folds, not wrinkles.