As has been said on the other thread, the whole thing is anecdote, not evidence. That means that the target(s) of the article are some nebulous group, that people all have a slightly loose idea about.
If it were evidential, and each of these supposed problem families and problem mothers were examined in detail, it would almost certainly emerge that there are complex factors leading to their situations. the "problems" of these problem families would emerge as similarly complex, and expensive to put right.
So much easier to just suggest a benefit cap. Or other bizarre, punitive measures.
For what it's worth, I think there is a strange and unpleasant discourse about the increased privatisation of parenting emerging, which permits the withdrawal of state aid to those parents, and children, experiencing difficulties.
The corollary of the anecdotal nature of this article is that the nebulous figure of the "problem mother" is so fuzzy it necessarily becomes relevant to all mothers, in some sense, and probably all women. We are all either included in this, or set in some position in opposition to it.
Further, the article's focus on women, to the exclusion of men, makes it an anti-woman article. Even if we try and take the sting out of it, distance ourselves from this fact, by saying it only has "some women", "bad women", "problem women" in its sights.
Just i.m.o.