Grant 302
basic and well known psychic
Close. Weight transfer always happens when a force acts on the CG. Softer dampers slow down the transfer of weight, that's why an old floppy cadillac floats all over the place and isn't responsive to inputs until the body takes a "set", and why stiffening dampers makes the car respond quicker, because weight is transferred into the tire quicker, which is the inverse of the slower body movement.
It's all about roll resistance from geometry (or anti squat/lift/dive) and springs/bars and how the CG acts on the roll (or instant) centers.
Lowering the instant center acts longitudinally like how lowering a roll center acts laterally (which is similar to softening a swaybar), by increasing body roll and reducing weight transfer by keeping more vertical load on the opposing tires.
Another example, a stiffer swaybar (or higher rc) primarily transfers more weight across a pair of tires, increasing response and weight transfer, reducing the total tractive effort (grip) of that pair of tires, and reducing body roll.
This is generally true, but the way instant centers are 'calculated' aren't always correct. Panhard bar for example. No way it's just at the center of the bar. That's just a way to simplify things and is close enough for most.
And again, maybe splitting hairs on definitions...but a reaction from anti-squat isn't weight transfer.