Tom, there are over 50 advantages and these 2 suspension designs give a breakthrough in dealing with cornering chatter. Braking, cornering, acceleration (by way of an anti-wheelie aspect to directly connected suspension) and aerodynamics (where there is less compression during cornering therefore a lower ride height can give reduced frontal area) are the main advantages. Telescopic forks are now at the end of their development cycle due to cornering chatter where the present work on electronic active suspension will only marginally increase their life span.
An academic paper is available to fully expain matters should you be interested.