It is slightly Voxy at certain settings. It;s more in the Marshall camp than Vox. sort of Voxy Marshall. You are thinking of the Black Cat which is a Vox AC type amp.
It's a great module, just not very Voxy. It has way more bottom end and a much different gain texture.
EDIT: YOu asked if it compare tot he Matchless side of the Matchvox. I owned the Matchvox a long time ago. from my memory they might be closer to each other than BK and Vox sound but still very different. I could not get the Matchvox to sound so much like a Vox so in that sense, they may be more similar, the Bad Kitty and the Matchless side. They are both beefier and do not have that signature honk of a vox type circuit.