The way it is most contested currently is around gender and human nature more broadly.
In that respect he brings up Sally Haslanger and says she subscribes to critical realist viewpoint. Not everyone takes a critical realist viewpoint, but okay. He then goes on to dodge the subject entirely and talk about other areas.
Criticism of social constructionism in terms of human nature, for instance, is about the extent in which social constructionism is used to ignore biological influences on behaviour. This was what sparked Steven Pinker to write the Blank Slate. The full title of the book is 'The Blank Slate:
The Modern Denial of Human Nature'. And it is not that Steven Pinker denies the role of nuture or social interaction in shaping reality to some degree, it is social constructionist thought has been used to undermine or ignore the role of biology in shaping behaviour and culture. In fact in fields like biology or neuroscience, etc, the whole nature/nurture debate is moot anyway because behaviour does not occur outside of the environment. All behaviour is a product of interaction with the environment. In other words, you cannot separate one from the other.
He also brings up the way it has been politicised. The way it is used for ideological reasons is certainly a problem.