As bad as the H1 and H2 were they could be made to work. A few years after I sold my H2 I met a bloke who owned a few Kawasaki triples and had made it his lifes mission to tame the beasts. He let me have a ride on his H2 that had been fitted with a braced frame, set of Ceriani road race forks, a braced Kosman swingarm, alloy Konis and a home made CD1 ignition that softened the torque curve. The bike was otherwise as stock as a rock and the improvements were phenomenal, a pleasure to ride. It was stable at speed and the power came on much smoother but without losing any of the inbuilt thrill. I remember him laughing at blokes fitting expansion chambers to triples as he reckoned they narrowed the power band even more. The H2 is basically three F11 cylinders and he reckoned the Kawasaki race kit had similar porting and ignition timing to the F11M motocrosser.
I always wanted to get another one to do the same mods but now that I'm an old fat guy in my 60's I don't think it'd be a suitable bit of transport.