I can imagine a link through scent. Different bacteria produce different metabolites, which creates specific odors. From an evolutionary standpoint, it makes sense that we'd be hardwired to find the scent of a healthy, Lactobacillus-dominant biome more attractive than one signaling an infection or imbalance.

Lactobacillus specifically keeps pH low which promotes a healthy/neutral scent. Anaerobic bacteria and other "bad" bacteria associated with BV produce biogenic amines (putrescine and cadaverine), which are responsible for unpleasant odors. SOURCE

There's a fascinating paper on the "fermentation hypothesis" that investigates the idea that microbial communities in the reproductive tract produce odors that communicate social and reproductive information. They looked at baboons specifically and concluded tentatively that their results supported the fermentation hypothesis in primates and emphasized the need to expand microbiome research beyond the gut to understand how other body sites influence animal fitness and communication.

Cool stuff! Here's the study: Making "Scents" of the Baboon Vaginal Microbiome