There most definitely is a correlation, and there are statistics to prove it.
The most highly educated women and the least educated men are disproportionately single. Assortative mating breaks down for those two groups. Anecdotes to the contrary do not make data.
The preferred narrative is that women do not want to marry down - the male doctor being happy to marry the female nurse, but not vice versa.
I posit that at least to an equal extent, men do not want to marry up. Money and property on the female side of the family is fine, but not a noticeably higher level of educational attainment and professional success. It skews the dating pool all the way down to high school.