If there were a group of primates very similar to humans, and they had vomeronasal organs, what should the sensitivity or accuracy of such organs be? The race has a lengthened face to accommodate for a longer nasal bridge containing increased olfactory receptor cells. Also, the race evolved in a rainforest were it probably would be more difficult to smell at certain times of day because of heavy rain. It is important for them to smell fruit because that makes up most of their diet. Each individual in the race has a stronger odor than regular humans to allow scenting from a distance and keep his or her scent even after rain. How accurate should the sense of smell have evolved to be to detect certain hormonal cues and sense ripe fruit from a distance in these conditions?
A vomeronasal organ would allow for strong detection of hormones, so it seems that your race would react strongly to certain hormonal signals. Heavy rain in the Amazon Rain Forest causes Jaguars to have a smell, apparently, so I wouldn't doubt that the race would have a smell to match their ability to smell. Folks in the comments had some good points about smell strength for different things, so I'll say they would probably be very sensitive to whatever they eat. Humidity also strengthens smell, so if the race has a strong sense of smell outside of the rain forest, it would be even stronger in the rain forest. It would be quite useful for finding a suitable partner, or to tell how someone is feeling as well. Not to mention the hilarious flehmen response that comes with a VNO!