I think you have a point, but also you've cranked that point to 11. Possibly 12.
Like yes, women can be really infuriated by how often they get hit on. I know the main reason my wife wanted a stereotypical wedding ring with a single diamond was that "it'll keep the flies away"
But also... people interact with you in public. It's like... a property of public spaces. Indeed talking to my wife in a public space is how we met.
The way you make it sound from your description would be that asking some woman directions would be a social fopah. Hell, where does just "having a conversation" land for you then? If you leave without asking for a number, is it different?
There's a difference between idle chit chat and approaching like Johnny Bravo.
I gave up because I was typing on my phone.