think the days of people thinking having DC will get them a council house are long gone but still, many people do have kids that they can't afford to support and do rely on the state to do so.
I don't think it's exactly that people have kids to get council housing (although it does protect against street homelessness, not that temporary accommodation is often much better). I've had a really busy day and I'm tired so I don't think I can explain what I want to say properly (even to myself).
Often the child is unplanned but other times, especially for people from disadvantaged backgrounds or communities, having children is sometimes the only realistic aspiration. To achieve a feeling of purpose in life and a sense of self worth (especially as society does often negatively judge the childless and the childfree).
Also, every circumstance is different. Unplanned life events happen. Lots of families support their kids fine but then something happens. Illness, bereavement, job loss, DV, one parent disappearing and not paying child support.
This below from a PP
the problem is that she’s had 6 children and is living off the state
If there were good and better funded public services, support schemes, and opportunities (work, education, and training), and SH, people would have more options and more chance to support themselves and their children.
Improve the child support system too.
Also although not directly related, SH needs to include the childfree. They're taxpayers and have equal need and right to decent homes.
The bedroom tax thing. Possibly could encourage people to have more children to avoid it? Perhaps not but it's still an unhelpful policy. Massively negatively affected the childfree, disabled, and older people. Downsizers get high priority for smaller properties (which the childfree need), and older and disabled people often need extra space so downsizing isn't practical.