I think you misread the parent. They didn't have an outstanding warrant, the driver did.
The fear was being jailed too long to respond to potential employers so that I could continue to work. Child support agencies are immediately notified if you've been let go and will hound you on a daily basis to find employment, there are no breaks.
Thankfully I'm in a much better position in life, but I know what it's like if you don't have access to capital to hire a good defense attorney who isn't behind the 8-ball like public defenders always find themselves.