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Duplon - cheap and makes assembling rod handles easy and characterless. Some types can feel 'squishy' when wet.
However, consistent and convenient.
Cork - can be expensive to the extent of eye watering. Can be difficult to work and shape. Available in made up bored cylinders but still relatively costly. Also available in many patterned, decorative reconstituted varieties which can be more robust than natural cork. Love the feel of cork handles.
Cork every time, so much so that I had the small piece of duplon above the real seat of my Harrison's replaced as I hated it and thinking of having my original Greys Prodigy duplon butts replaces as well