Ok so you know how when you're braking on an uneven or broken or rippled bit of asphalt (not sandy/gravely) and if you have ABS it's cycling on and off rapidly as your tires gain and lose grip? Lighter wheels keep the tires pressed against the road more of the time, or less likely to break free in the same situation.
Basically, you have 3 'numbers' to be concerned about. The weight of the 'sprung mass' (the tires, wheels, brakes, partially the suspension) the weight of the rest of the car, and the spring rate of the springs (let's leave out dampers for now).
Imagine the Supra is floating in zero-G. The springs are compressed to normal ride height by some mechanism. But then you release that mechanism and the wheels/etc entirely. The wheels get flung away from the car into space and in return the car goes the other way.
The heavier the wheels the more the car moves and the less the wheels move. The lighter the wheels the more the
wheels move and the less the car moves.
The springs are there to move the wheels to keep them in contact with the ground. The less the wheels weigh, the more successful the springs are.
That was a bit of a wandering explanation with a few different angles. Hopefully one of them 'struck' you and it kinda makes sense now.
P.S. Nitpickers leave me alone. Just trying to give the right idea, not get my math right
P.P.S. I really like the SSR GT2s as well, but likewise my second choice is the FN01R-C (I think I got that ridiculous model code right this time).