Yes, and women will continue lose out until some hairdressers will offer cuts to women at barbers prices, or some barbers accept female customers.
It seems like there is a market for this so it's interesting that no one has chosen to fill it.
There are two "barbershops" in my city which cater to some extent to women. One is a barbershop proper but is in a hip area and has a lot of transmen clients. The other again, hip urban area, and caters to lesbians. The barbers there are actually female hairdressers.
Both of these shops have clearly spent a good deal of money to make themselves look like a traditional babershop like you'd see in a film, and they have nice websites. Their prices reflect the locations and money spent on aesthetics.
So I guess I wonder, what the clients of these places are really looking for. They are analogous to one very high end barbershop for men that specialises in beard culture, in a similar location and price range. That's three shops in a medium sized city.
But there are also dozens and dozens of other tiny barberships in working class strip malls or converted houses or basements of residential buildings, with one or two chairs and pretty plain. I find it hard to imagine that some of these ones would not be willing to cut women's care, even if others preferred not to.