From a UK perspective, men outearn women on average, there are fewer female CEOs, many well paying fields are 70% male, etc.
If you pick a point on the income spectrum, there are more men in the country earning above that figure than women, and so unless you have incomplete pairing (same sex relationships likely don't change the ratios enough to matter) this is a trivial result.
One could as well make the opposite: women are more open-minded because they will gladly marry a man who makes more than them.
Full disclosure: my wife earns way more than I do, though that was not what we expected when we got married.
[1] https://www.census.gov/library/stories/2018/07/wives-earning...
Source: I'm a woman who has read up a metric fuckton to understand why I ended up a homemaker instead of getting the serious, well-paid career I expected as one of the top students of my graduating class with academic honors that suggest I was one of the top students in my state and doing well on a national level as well.
There were a number of reasons for that decision, including differences between our fields (it would be much, much harder for my wife to restart her career after a prolonged break) and my own dissatisfaction with the job I was in at the time. We looked at full-time childcare but for the quality of care we wanted in our city it would have been over half my pre-tax salary for the two kids, so it didn't make a whole lot of sense.
Anyway, I'm primarily a stay-at-home dad now. I still do a little work here and there on a temporary/contract basis but my wife earns over 10x what I do annually. I take care of the kids, plan and prepare meals, wash dishes, do laundry, clean the house, buy groceries, take care of home maintenance, and generally keep our lives running. When a kid is up crying in the middle of the night I walk them to sleep. When someone's sick I take care of them and take them to the doctor if necessary. When my wife forgets something at home I load the kids in the car and take it to her at work.
When the kids are a bit older and don't need constant adult supervision I'll probably go back to work, perhaps part time or in a work-from-home arrangement at first. Eventually I expect I'll go back to normal full time employment. Unlike my wife's field I don't expect to have any great difficulty getting back into my career, though obviously I'll be years behind my former colleagues on the promotion track and probably lost any chance of reaching the highest levels of my profession. I never really cared about that anyway though so it doesn't bother me.
It would be particularly indicative if
1) Women who start out earning their husband start initiating divorces at higher rates, while men stay constant or decrease the rate of divorce.
However, to differentiate that from the hypothesis that all people moving up in the income spectrum have an tendency to split up with their current partner to find a new one, it would also be useful to see
2) Men who start out earning their wives do not start initiating divorces at higher rates, while women stay constant or decrease the rate of divorce.
You could also see how a switch in income ordering affects divorce rates in homosexual couples to factor out the gender aspects.
Another, less direct metric would be seeing who uses income filters in online dating more, though few sites seem to offer it nowadays.
However one clue is the difference in the steepness of the preference: > On a list of 149 countries’ Gini indices provided by the CIA World Factbook, this would place the female dating economy as 75th most unequal (average—think Western Europe) and the male dating economy as the 8th most unequal (kleptocracy, apartheid, perpetual civil war—think South Africa). [0]
One can also look at pop culture for hints on the differences in societal desired traits of the opposite sex. Compare TLC "No Srubs" [1] to Bruno Mars "Just The Way You Are" [2]
[0] https://quillette.com/2019/03/12/attraction-inequality-and-t... [1] https://genius.com/Tlc-no-scrubs-lyrics [2] https://www.azlyrics.com/lyrics/brunomars/justthewayyouare.h...
Men are not more open-minded, they just on average place less importance on womens’s earning potential, largely due to both men and women being influenced by traditional gender roles in which the male is expected to be the sole or primary earner while earning income is a secondary-or-less-significant role for women, and indeed seeing it as an important selection criteria can be seen as an indication that a man is unable or unwilling to perform his expected role.