Your point couldn't be that biological underpinnings are being socially reinforced because you didn't mention the biological underpinnings at all.

Your 4-point history is also off because it implies there was a gender neutral computer science that was then taken out of balance by socialization. The only thing you seem intersted in addressing is that girls aren't encouraged to tinker with things - that in and of itself is a fair point. You don't need to create a false history and a false biology to address it.

Focusing purely on socialization, while it will make you friends, will also prevent you from seeing the other reasons STEM fields are predominantly male.