Ideally the comprehensive system should improve itself so that its schools could provide an education equivalent to the private schools. But this is never going to happen. It could happen, as it does in other countries, if there were no strong private school sector. But the comprehensive system is simply not designed to compete in this way and cannot by its nature.
Our system is broken; the power, the political capital, and the money resides at the top of a hierarchy. Meanwhile those in most need are further disempowered and pushed to the fringes of our society. Without funding the women's sector simply cannot provide lifesaving services to women in desperate need.