I consider myself a lone parent even though my son lives with his mother.
If you read the article and separate the individual points, there are just a few points in the content.
The one point mentioned in your post is a broken family. I don't think the fact can be argued. After a separation or divorce, the family is broken.
The question about children being harmed by broken families is really a question.
If one parent suffers under the hand of the other parent, the child snatchers are to quick to get involved and steal your children and then accuse you as parent of failing to protect your children for not separating. Then when you have separated, you get accused of not being able to choose appropriate partners for relationships - so you never get your children back - even if the children want to come back to you.
The media might show lone parents to be bad, but are lone parents really that bad? They can be, but not necessarily. A child can only be "broken" if the person caring for the child damages the child. I know a fair few parents who do a brilliant job of bringing their children up alone. Some parents don't have involvement with the child's absent parent. Usually the absent parents choice.
I doubt I would be critical of the media for highlighting broken families. I think there is a lot more lone parent/absent parent problems in the UK than what people know about. Those problems need to be highlighted.
In some cases the ex might be a problem and in other cases the resident parent might be the problem. The quickest way to get people talking is to make a big issue about it in the news.