Neither Mozart nor Artaria (the publisher) called this piece "The Hunt." "For Mozart's contemporaries, the first movement of K.458 evidently evoked the 'chasse' topic, the main components of which were a 6/8 time signature (sometimes featuring a strong upbeat) and triadic melodies based largely around tonic and dominant chords (doubtless stemming from the physical limitations of the actual hunting horns to notes of the harmonic series)."[2] According to Irving, Mozart's first intention was to conclude with a polonaise and sketched 65 bars (p. 17).
References
^John Irving, Mozart: The 'Haydn' Quartets. Cambridge: Cambridge University Press (1998): 13. "K. 458 was entered in Mozart's own handwritten thematic catalogue on 9 November 1784."