I haven't read all the comments, I'm surprised to see these references, but from personal experience, I don't recognise this narrative. I am a single mother, I have been on my own with my boys for 9 years, and they are incredible; funny, intelligent, and considerate, also kids who make mistakes and are figuring out who they are. We have never been in any kind of trouble beyond talking in class. I know other single mothers, and all of us are home owners, except one. I appreciate there may be a higher prevalence of certain outcomes, but please don't use a sweeping brush to paint all of us, because it's just not true. I have thrived since being on my own, I went back to uni and got a Masters, I work in a flexible profession.
What I will say though is the housing impact, we are restricted on where and what we can buy due to one income, that is just the reality. This means I am applying for an out of catchment place for my youngest to attend the same HS as his brother and all his friends, and if he doesn't receive a place, I am prepared to buy a two bedroom flat in the area and sleep in the living room.