So in a effort to improve safety for the driver, to me it's better to put a iteration of the j-damper on the steering column or on the rack and pinion on the same axis. Excuse my crude sketches:
![Image](https://live.staticflickr.com/65535/52326804581_862ea86bf0_b.jpg)
The mass could be anywhere really, all the way up to the steering wheel and can be tuned manually by the driver or not.
Another way is simply inject air or magnetize in a varying cycle on the current shocks based on the frequency produced and needed during rebound. I believe drive hydraulic or air assist is not banned.
![Image](https://live.staticflickr.com/65535/52326804576_fa6d9aaf93_c.jpg)
If F1 does allow magnetic fluids used in road cars, here's another version.
Fluid version:
![Image](https://live.staticflickr.com/65535/52326814901_0b4b98cdf7_z.jpg)
Non-fluid double acting electromagnetic damper.
![Image](https://live.staticflickr.com/65535/52327171890_ce04294565_z.jpg)
As a inerter and generator:
![Image](https://live.staticflickr.com/65535/52327171915_a7f57f44eb_z.jpg)
Any of these would offer more safety to the driver and a more stabilized steering. I believe it should be legal since it's on a single axis. But who knows.