Women escaping abuse can access council houses and benefits; they have friends and family, they can get jobs, they can get legal aid for court. It's not like they don't have other resources. Not all abused women are downtrodden and unable to help themselves.
No way with the length of council's waiting list would a woman escaping a violent relationship just walk into a council house.
Added to which it is often safer for a woman to not stay in the area where her abuser still lives. But then means the woman is isolated away from family, friendship networks.
They can claim benefits but you have to have a permanant address to do that.
You'll be amazed how few people can get legal aid.
If you end up being allocated a room in a homelessness hostel, often with antisocial men also housed in the same building, and if it is not just you but you and your children in the one room, the idea that this doesn't impact on you is just unrealistic. Let alone that the abuse could have left you with not only physical and mental health issues.
And some of the most severe cuts, leading to closure of refuges have been made by local councils. This is why it is really important to try and engage at a local level. One DV project which had 2 houses has had their funding cut because, not the politicians, by a council employee thought it was too expensive to run women only services, and women should just accept hostel accommodation.
The biggest cuts to women only provision over the past few years has been to safe secure housing for women escaping domestic violence.