In Jazz, Rock, Blues, and contemporary popular music, the saxophone is often referred to as "brass" (particularly when playing in a "brass section" with trumpets or trombones), hence Arturia's choice of cognomen. The main exception is big band music. There, the sax is often referred to as a "reed" to differentiate it from the "brasses".
In Classical (or "art music", if you prefer) the sax was of old generally considered a woodwind, but now, the trend seems to be to refer to it as a "bastard instrument". I'm not being coarse here, but this seems to be something of a technical reference (I'm judging from the contexts in which I've heard the term).