I'm really trying to understand your concerns. I'm building my 2nd FFR. I've been on the "other channels" for 4 years. I can't ever remember anyone ever having issues like you describe other than folks using the factory power steering without a control valve.
I did a search on "twitchyness" and came up with these 2 threads.
FFCobra thread
FFCobra thread
I did a search for "stabilizer" to see if anyone asked about a 4 wheel drive steering stabilizer and none of these threads had anything to do with what you are talking about.
Perhaps you could post a link to the many threads and posts about this issue so we could all see it with our own eyes.