I disagree Droves. I don't think it was edited in the way you describe at all. In fact, I think they showed the parents in a light that'd make the public feel sorry for them, and it worked. They didn't make them out to be bad people at all.
And as for the parents level of understanding, I just don't buy it. Tiffany clearly managed to understand details about her pregnancy and the risks associated with pre eclampsia and explained to the cameras in some detail the risks using some medical terminology. In the meetings, both parents nodded their heads in certain parts, put their heads down when something negative was said and smirked when the person assessing Toby's SN's said that she thinks it might (not definitely) be hereditory. They understood perfectly well.
If they did not know how to clean up at all their flat would have been in a far worse state than it actually was. Yes, it was horrendous but it would have been much, much worse had they not been able to do anything the whole time they've been there. I'm sure they've eaten - and managed to wash up or they'd have run out of cutlery etc. Tobys father managed to follow instructions to put a stair gate up (something I would be a bit unsure about approaching!!). The child managed to pull it off through not having boundaries and being left to do it. But then he clearly showed the social worker where he needed to pull holes in the walls in order to secure it again. He just hadn't bothered. It was laziness. They did what they felt they needed to and if they couldn't be bothered or didn't see the point, then they didn't.
I am not questioning that they didn't have problems. But those problems were more emotional problems and problems understanding why their child needed to live in some degree of comfort. They did not have severe problems following instructions, understanding what was being asked of them and knowing how to move a mop across a floor and pick up some toys. Gosh, Toby was 3 in the programme. They certainly managed to follow instructions when it came to the, somewhat more complicated task of a baby's demands. I know of someone who couldn't even grasp how to make a babies bottle, despite being shown several times and sterilising completely went over her head - yet manages with cleaning, other household duties and otherwise lives her life quite well! I don't think these parents were so bad they couldn't even manage that task - or Toby would most likely have had problems and taken much, much sooner.
I don't think they had problems with physical tasks at all. They didn't need to be shown how to do something. They just failed to understand why. And if they did understand why, they were then incapable of prioritising their childs needs over their own.