I think it really depends on the couple and necessitates having children to have this discussion. If a family is struggling to get by due to dealing with low income, both parents obviously have to keep working at that time, and the freedom to do this is something they should be working towards.

That said, the way this article poses the question, you're probably not referring to this previous case, but rather to a family that is around the median in earnings. In that case, I think it would be a case of good parenting for at least one of the parents to work their way out of a job, whether that be through hobbyist entrepreneurship (perhaps they could be teaching their children elements of homesteading and sell whatever excess they don't need), cutting spending, or some other method that works for them.