I'll raise my hand and say yes. But I don't have any statistics to support my answer, only my personal experience,
I was raised by a single mom back in the 60s and 70s where the only recourse against deadbeat dads was to put them in jail, which didn't help if they decided not to pay child or alimony.

I grew up well below the poverty level and yes we got welfare and bought our groceries with foodstamps. I would have been eligible to get free lunches in high school too but I didn't want the other kids to know how poor we were.
My mother took a course to learn to become a printer and got a job at a newspaper typesetting. When the paper folded she took a course to become a machinist and got a job on the tool crib at one of the local machine shops. She worked the night shift and managed to buy a house - not a fancy one, but still she put a roof over her and my head - with the good wages she was finally able to earn. Not bad for a woman with only a high school diploma.
My mother and I needed a break and we got one. I don't think my mother misused it and I made darn sure I got an education that would serve me my whole life. Nowadays I think we would have gotten more help going after my father but I'll say yes it did help us, and maybe that has influenced how I look at some of these programs.