FD -
I think your list is a good list of things that are wrong but to me isn't a list that proves the patriarchy
(Cuts to domestic violence refuges.
The fact Rape Crisis receives NO central government funding.
The fact women are still doing the majority of the housework.
The fact donkey sanctuaries receive more in charitable donations than women's refuges.
etc... )
Just take the Donkey sanctuary one. Donkey sanctuaries receive more charitable donations than homeless charities, alcohol and drug charities and a whole host of other things. Animal charities receive more than health, arts, sports, disability, schools or elderly causes. And with in animal charities people give more to donkeys than to species that are endangered but not so cute.
When you ask people to rank how charitable donations should be divided between different causes ('use their system 2') their stated preferences don't match what the population actually chooses to give to.
(This isnt an argument that feminists shouldn't promote women's causes and need to promote homelessness, elderly, sports etc.. btw). But it is a pretty good bit of evidence that the comparison between Donkey sanctuaries and women's refuges is not a case of something specific called patriarchy, but reflects a more general pattern of people not being very good at directing charitable giving to what really matters to them.
Does it mean it is not a problem? No. Because it being a problem doesn't depend on the patriarchy theory, it just depends on it being a problem.
But understanding the causes might be a way for charities to figure out better ways to attract giving towards the causes that people really prioritise when they think about it properly.