If you can show a connection between some kind of particular sexual attraction which is dependent on social factors, I would like to see that.
Sound seems to attract male rats. Strong direct eye contact seems to attract western cultural male customers.* Both are dominant sensory modes attended to by males of species. As for the development of eye contact and eye avoidance behavior many studies have linked them to social customs.
[h=1]Attention to Eye Contact in the West and East: Autonomic Responses and Evaluative Ratings
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0059312[/h]
The current study investigated cultural differences (East Asian vs. Western Europeans) in response to eye contact with another (real) person. The results revealed that eye contact elicited stronger heart rate deceleration responses, shorter looking times, and higher ratings of subjective arousal as compared to a face displaying an averted gaze in both cultures. By contrast, cultural differences related to eye contact were observed in various evaluative responses (e.g., facial emotion, approachability etc.) to the models presenting different gaze directions. These results suggest that cultural differences in eye contact behaviour mainly emerge from differential display rules and cultural norms rather than from the effects of culture on the development of behavioural and physiological responses to direct gaze. The rating results suggest that individuals from an East Asian culture perceive another's face as angrier and more unapproachable and unpleasant when making eye contact as compared to individuals from a Western European culture. The rating results also suggest that direct vs. averted gaze can have differential influences on perceptions about another person's facial affect and disposition. Given that eye contact is crucial for daily interpersonal communication, the current results provide unique insight into how we behave in front of others. These results also have the potential for facilitating effective cross-cultural communication. For example, East Asian individuals should not overinterpret the eye contact of Western European individuals as signalling anger, and Western European individuals should tolerate shorter and less frequent eye contact with East Asian individuals, as East Asian individuals might think that long and frequent eye contact could present an unapproachable impression. Further studies are necessary to better understand how cultural norms modulate eye contact behaviours.
*not a formal study. But I did find street walkers, prostitutes in bars and clubs, almost universally sought direct eye contact with potential customers in Seattle, Portland, Los Angeles, Washington DC, New York City, and Atlanta. Successful contact resulted in at least conversation, often contract, in my observations. These informal observations are in line with the results of the study re: eye contact cited above.
There are actually very few studies as robust as the one above and, as far as I can determine, the only one fitting requirements you require.