-I don't think anymore then gold watches, square watches or any other particular material, style or genre out there. Its just yet another option you have. A while back I didn't get the bronze thing, until I owned one. Its a really fun thing to have in the collection.
The beauty of bronze watches for me is the ability to polish it with a little elbow grease, you have a beautiful looking watch in bronze. You don't take care of it, go swimming and outdoor activities, knock it around and its still beautiful in a totally different way. You don't like the patina that formed? Just polish it out.
The beauty:
The beast:
I can't decide what I like better but its a fun watch to have in the collection for sure and for those who had the diver's, chronographs etc and want something truly unique I recommend picking up a bronze.