From the Tycan site: "The famous twist was discovered by the German mathematicians Möbius and Listing in 1858. Using the twist distributes the forces in each link of Tycan® equally, allowing us to reach a 20t MBL."
And for cost: "We regularly bench mark against the premium brand short link chains and, depending on the grade, Tycan® is only 0-3 times more expensive." So you're only going to pay 3 times as much as premium chain.
I am not sure what the advantage of chain over Dyneema rope is. Maybe just that it collapses like chain or that it looks like chain and that is what the user wants to see. It must be more expensive to make the links rather than a continuous rope.