The ultimate question is how much you can do with an inherently loose chassis. I suspect that if you have a planted and stiff rear end is that something has to give in the other direction. Some part of the suspension has to react to the forces running through it which are amplified by a lack of stiffness in the overall platform. If the rear is inherently stiff, the front end, which is more reactive, reacts in a more pronounced manner. I would think if you stiffen the front end further, you would make the chassis more reactive. If you decrease stiffness in the rear, you would distribute the acting forces more evenly, but at what cost to rear end grip?
With only 2,000 miles on my Roadster, I suspect that you are correct that there is a more “dialed in” solution. My car has the front end bob even on smooth roads. It would be nice to experiment with various damper and spring settling to see if you could capture that elusive balance. That said, it will always be a compromise as you are not working with a very stable platform. When setting up a race car, you only need to think so much about chassis compliance as it is not a major concern. Here, you need to put it front and centre which is complicated.
Aside from the never calm front end, my major complaint is the lack of steering feel and the general numbness of the suspension, particularly at the limit. You have an odd combination of both under and oversteer which could be fun, but you have only the tires to listen to in terms of judging when grip is going to give way. My solution for the time being is to take this as a given and enjoy the ride.
