Generally speaking... I think most people are simply trying to isolate the vibrations going to the floor to stop them from bothering others with the noise. Imagine a mini jackhammer constantly going for hours...
Springs could amplify the effect.. But it comes at a cost. Delays, slop, Inaccuracy, etc.
Transducers have a mass that is suspended in a balanced way... and the coils and springs inside of them, are well capable of keeping that mass under tight accurate control. This is important... because if there is delay in start, stop, and acceleration....etc.. the effects you are trying to generate will not feel correct...
And in the case of the special software these guys are using, which is made to deliver sensations to different parts of the car (frame)... It will not portray the 3d positional data in the timely and accurate manor... and so all that money you dumped into the project to try to feel the road, tires, pedal, shifter ...etc.. will not be worth peanuts. It wont help you to feel the track to perform better in a race, due to these delays and inaccuracies.
The springs, unlike the Shakers, do not have coils to keep them tight and right.
How much distortion is really the question. If there is adequate mass, and the spring is fairly loaded... and the shakers are not powerful enough to really over-excite the frame... then it may be acceptable.
Springs in this application are tricky, even without transducers. Getting springs that are strong enough to hold you, the frame, the control, monitor, etc... and yet still be centered in its flex.. is tricky. Then if your larger friend sits in it.. will it bottom out? Or if you are the big guy... then the skinny kid wont even flex the springs.
This is why if you were going to buy some of those springy jumping stilt boots.. you have to make sure to get the right spring type, based on your weight range.
Springs also tend to lose their resilience over time.. especially the lower gauge springs.
Which ultimately makes me think... again... if you are trying to translate 3d movement to magnetic transducers... What would it take to make mega coil versions, that act like pistons? I believe thats what a linear motor is?
The only thing I can think, is that some of the Motion cabs Servo style (I think these are worm gear motors) actuators are not quick enough to make very fast and tight vibrations.