All that, and forgot to actually address the OP’s question.
It seems to me that gender equality ideas are leading to more women being comfortable being the initiator, especially if they’ve always been a part of culture for someone’s entire life.
My ex-wife and I were born in the 1970s; we grew up with childhoods where gender equality ideas were given lip service, but sexism still was pretty prevalent. The men my mom dated expected her to cook for them, in our schools there was a pretty strong social expectation that one would be friends with same-sex classmates. When we began dating in the early 90s, despite being a self-proclaimed feminist, she found it suspicious that my best friends were women, and so on. I think she wanted to initiate things, but in a way such that we followed our “roles.” She could say I asked her out. (Similarly when we got engaged. “I wish we were married,” followed by my asking her to marry me.)
The next born in the 80s, was the primary breadwinner, and had no qualms about asking me to have dinner that night… Didn’t grow up with overt sexism in culture quite as much, but did experience it in academia and her career (highly specialized engineering). She’d go jogging in her school engineering shirt, and be asked if it was her boyfriend’s. And, she was afraid of being an old maid, felt she intimidated men, and apparently I was the first person she’d ever pursued.
The last three, born in the 90s, experienced even less sexism in culture, and find the stories I tell them of what I saw my mom experience in the 70s bizarre. They obviously still experience some, usually from older coworkers, and they vocally push back when it occurs. Mostly men as friends, and as kids almost no social segregation of genders. So instead of gender equality that my exes and I had to learn, it seems like (finally!) there’s a rising generation for whom it’s almost innate. They certainly are upfront about initiating things when they like someone.