I bought a Bimota Tesi 1D about a decade ago, and enjoy taking it to track days whenever possible. I also race a Ducati 750SS, and a Bimota Supermono, both with a conventional fork front suspension.
The Tesi has Ohlins dampers front and rear, and provides nearly 100% anti-dive on the brakes. Stability under braking allows me to break later than others on the track, and turn in while on the brakes, a definite advantage.
However, the convoluted connections between the bars and tire patch compromise steering feel substantially, and the change in stiffness of the front end as the bike is rolled over (the front suspension uses a swing arm) does little to inspire confidence, especially over undulations and bumps.
Overall, I prefer the conventional front fork of the Supermono and Ducati. It's no surprise that MotoGP still uses a conventional but extremely well developed system that is well understood and highly tunable.