There was a well documented experiment recently. A little girl and a little boy were dressed in clothing of the opposite gender and then adults engaged with them in play. The adults uniformly played with the child dressed as a boy by presenting "him" with construction toys and perhaps playing "catch" they played with the boy dressed as a girl with dolls and make believe. It is not kids that have a gender problem, it is adults.
I don't believe that Ms Faith is conducting any kind of "social experiment", merely trying to enable her child to grow up feeling loved and supported.
You may for example, have noticed the number of children who follow their parents into either creative, caring or scientific roles in society. I don't for one moment believe this a genetic predisposition to that kind of role, it is learned. What else are our children learning from us? It seems they are learning to follow gender appropriate roles. Perhaps the greatest engineer ever to be born has become a single mum working in a call centre twenty hours a week (nothing wrong with this work in itself but you don't want the next IK Brunel cold calling to flog drainage insurance do you?)
Limiting our children limits us.