Gendered stereotype threat?

Interesting article here about women chess players performing less well when playing men.
I wondered if it might be an instance of the phenomena of ‘stereotype threat’, discussed by Steele (1999) . This phenomena is the experience of ‘the threat of being viewed through the lens of a negative stereotype, or the fear of doing something that would inadvertently confirm that stereotype’. His claim is that being aware of such stereotypes and this kind of threat leads to self-consciousness (‘spotlight anxiety’), or demotivation, hence under-performance.
Steele’s study is of the performance of black college students in the US, in the face of racial stereotypes, but may well be pertinent to gender stereotypes, as the chess case suggests, and as discussed with reference to mathematical performance here.