My opinion, I believe the "systems" correct two different issues.

Suspensions correct sway, bounce, and dipping from braking and acceleration. The "cocktail shakers" are vibration dampeners. Early Corvair and 1st Gen GM F-body convertibles were susceptible to vibrations caused by the flexible body so they added the vibration dampeners. If I recall, the vibration dampeners were configured to absorb the specific vibration harmonic of those bodies.