I selected distortion, but only *very narrowly* over fuzz ... and this is only because distortion is so utilitarian, covering such a range of useable textures for a variety of musical/playing situations. Realistically, you could have 1 guitar, 2 cables, one amp, and a BJF distortion and play virtually any gig in most any style of music ... all by riding your volume knob on your guitar as well as controlling sounds with your hands.
This is why his pedals are the best in the world.(For pure "fun factor" though ... I think I'd have to pick fuzz over distortion. More interesting to listen to, more fun to play and feel. Just not as utilitarian as a distortion.)
Get in where you fit in.