I think the experiment won't last really long. By the time the child is a year or two, it may want to refer to itself with a gender, by the time it is four it will certainly have noticed a difference in gender, and will know it depends on what is between the legs.
It will not make a big difference for the baby/toddler I think. It may make some people aware on how focused they can be on gender.
Funny thing. I let my kids pick out their clothes from a very early age, the moment they could point with decision when I opened the closet with clothes. My oldest picked dark trousers, and simple sweaters as a toddler. My youngest dresses, either brightly coloured, or, most of the time, purple.
The oldest loved to have tails in her hair, the more the merrier. The youngest hated fussing with her hair.
The oldest, dark trousers, simple sweaters, was almost always taken for a girl, the youngest, flowery dresses and all, was taken for a boy a lot. Only when she had something in her hair, people would recognise her as a girl. Weird.