I have experienced front end “wobble” on my own car and several others that I have driven over the years. Typically when cornering briskly on perhaps slightly uneven road surfaces. Rather than wobble, I might describe it as “skipping”. One might suggest that it is a Morgan characteristic emanating from ancient suspension design.
However, on my own car, with SSL front suspension, even with new king pins etc, after some 5k miles, the problem was still there. I found that there was too much pressure on the rebound springs. Adjusting this as per SSL instructions made a huge improvement.