A similar stiffness is not important.Graeme H wrote:Not 1:1, but the leader must be lighter than the line by only a small amount. It must also have a similar stiffness. These two things together will help the loop transfer smoothly into the leader.
Tapered, furled leaders made from e.g. Dyneema are very limp and stretch excellently.
The right distribution of mass is important
Cheers,
Thomas