It ultimately comes down to durability. The sword is clearly cooler, but it will break one day. The perfect stone is forever.

Personal preference.

If you take a stick and I take a rock, soon I’ll have both a stick and a rock.

The stick is superior, but the question is which one you take. Take the rock. Use the stick, then leave it in a conspicuous place for the next person to find and enjoy, to maximize the stick value.