Stiffer shocks may not be a cure-all for everyone but will probably help a lot of people here. But each car is different. Stiffer shocks like Rancho or CalTracs are not usually considered high dollar either. There are different clutch materials and configurations that stick racers can choose from but they can also have adjustability. An auto trans racer can't swap a converter as easily as adjusting a clutch. But it still has to work together with the rest of the car.
I think a more accurate description would be that a clutch controls the application of power to the drivetrain while shocks control the application of that power to the suspension. Sticks just have that extra tuning aid further upstream. But it all still has to be tuned to work together because each combo is different.