It's been enjoyable reading all the opinions to the question of the forum. The suggestions for different sounds for the horn are very interesting. I detect classical, concert, jazz and pop players.
My opinion is. soundwise, yes the horn does sound like a cornet. Stylewise it sounds more like a trumpet played with open embouchure and somewhat out of tune - modern jazz style. The fact thet the horn is played by a sax player probaly explains the limitations - many reed player have trouble with flexibility and range on brass and vice versa - maybe it's bite vs pucker..
Additionally, in my experience each horn seems to have it's own style. One can tell when a Trumpet player is playing a flugelhorn; When a Cornetist is on the trumpet. When a Trumpeter is on a cornet; when a Flugelhorn player is on either of the other 2.