It is true. It is a fact that the Netherlands has one of the highest levels of wealth inequality in the world, including higher than that if the US.
The things you’ve listed aren’t income inequality, they are a social safety net. Having access to healthcare doesn’t put you much closer to a billionaire in terms of wealth. Perhaps a weak social safety net is to blame, but given that SF has some of the most extensive social services of any city in the US, that also seems unlikely.