Perhaps. But a person with only one kid? Doing a job that the company needs to have done, even if no great skill is required? If that person doesn't make enough for food and rent, then I repeat, it is the company that is on welfare.
If you work the lowest paid job at Amazon 40+ hours per week, you literally cannot qualify for government benefits unless you have like 3+ kids and you're a single parent.
A person with no skills wouldn't be able to support themselves regardless of the number of kids.
And I suppose that's ultimately the problem: through a combination of technological advances, which automate much unskilled labor, and a broken incentive structure in many social welfare programs, which disincentivize investment in human capital (because of the "benefit cliff"), a larger and larger underclass of unemployable[0] people grows.
[0]: meaning, the economic value of their labor output is less than the minimum cost to employ them.
You came up with an extreme example that virtually never happens as a counterpoint to something that is ubiquitous in modern life. This behavior is why people don't like this forum.