Actually I'll add to this, I finally took my WR501 Supermotard for its first ride of the season today after owning and exclusively riding the Strada... In a total of about 15-20 minutes worth of riding, I felt compelled to either stoppie, catwalk, or let the tail hang out on every corner. There's just something about the vibrations from a big single and the Brap Brap Brap Pop Pop that made me turn instantly into an actual hooligan... Jumping curbs and looking for steps to ride on..
Then I went home and got on the Strada, and the comfy seat, soft suspension, no vibrations, refined throttle feel made me instantly calm down and turn back into a normal motorist that can take a corner at breakneck speeds. Yes on the Strada, you can do almost everything that I can on the WR (except the jumping).. However the Strada doesn't possess you into doing it like a true fully built Supermoto.
So.. To your original question, is the HM/HS a hooligan bike.. To someone coming from a sporty or cruiser, it probably does feel that way. However someone coming from a Supermoto, it feels more like a really nimble road bike with traits that make you smile.