if you only pay half the rent/bills, and share a home with another adult who helps around the house and with the children, then no, you are not "fiercely independent" are you? because you rely on another wage, and another person.
My degree is in health and social care. True, to get into that field, I could work first as a cleaner in a care facility, then as an HCA, but if I wanted to progress, I would need to train as a nurse (degree) or a midwife (degree) or if I wanted to be a health visitor I would need a degree in nursing or midwifery plus post grad qualifications.
To be a social worker you need a degree, to be a psychologist you need a degree, to be a teacher, you need a degree.........the list goes on!
No, I can't afford to work part time and complete a degree without financial support from the government, but if I didn't get that support, I would remain on income support for the rest of my life. Or get a low paid full time job, which doesn't require me to have a brain and use it in which case, I would still need tax credits to top up my income.
So your point is invalid tbh. I am incredibly lucky that I am able to get this financial help to give me the tools I need to get a full time job at the end of it. Why is that so difficult for you to understand?