The research has already been done. You just seem to disagree with the data because you don't like the conclusion that comes from it. The false belief you have can be addressed with the following response:
1. Most men actually are naturally better looking than the female. However, men these days have low self esteem and tend to underate their look. In fact, if we look at nature the males tend to often be the more naturally vibrant colours (see peacocks for example) than the female; this applies to humans as well if we remove the makeup and compare male/female faces. Another thing is men tend to not be seen as sexualised in our society culture. So of course women will appear more physically attractive as everything is hypersexualised towards them.
2. Outliers do not dispute a rule. An below average in looks guy getting no attach sex from a (non-drunk) hot girl does not dispute the fact that 9/10 that hot girl would never sleep with an ugly man. Sure a below average male can get into a relationship with a hot girl but often this not her falling in love with his personality or his "game". Rather there is often an exchange of resources/services the man must do for her in exchange for her to associate with him. A
nthropology studies on female behavior actual state in one of its rule that a woman will not associate with a man if no gain can be obtain from said association.
3. The problem you seem to not realise is that women often will settle on not being physical attracted to a man if he can provide resources/stablity for her. This is suggested by the amount of divorces initiated by women compared to men, how easily it is for women to detach from men and fall out of love and how many women will leave their husband if he is unemployed for long period of time or unable to work.
4. You obviously aren't friends with fuckboys because if you were you'd realise just how girls that have BF secretly cheat on them behind their back with guys they actual are physical attracted towwards.
A perfect example of this, comes from my real life. A friend of mines is a rich business owner in Miami. When he was younger he was dating a girl in he rearly 20's but then broke up with her to concentrate on his business. She then got married to another guy who would later become her husband. While she was dating her future husband, she wasa still getting the pipe from her ex-bf even and the way the story is presented it is possible that her first child might not even be her husband. Fast foward 10 years into future she now has 3 kids and still married to the same guy. Yet, she is messaging her ex on social media to find out how things are going with him and suggest they meet up.