Just came across this from a Road and Track article. It might bolster my position/question/suggestion that the car might benefit from adding a steering damper.

They say, in the article, "This race-car thrill ride isn’t without compromise, however. On Gingerman’s occasionally ragged track surface, the Factory Five tramlines and hunts out imperfections with an alacrity that is something alarming. Kickback through the steering wheel can be violent. It should also go without saying that a mid-engined car with 43/57 weight distribution, a turbocharged engine, and a complete lack of power assistance or electronic driver enhancements must be treated with respect at all times. "

I have read that tramlining can be caused by weak or ineffective power steering. I do believe that a damper would help in this non-power steering design.
I really want to hear from FFR's engineers.