Well, yes, I suppose this is true. If you pick a random woman who cannot code, that is probably the reason.
What about the women who have been driven out of coding simply because they happen to be female? It's something I have personally witnessed, both in the education system, and in commercial settings. There are real problems here, problems that you through your good fortune are not adversely affected by and in fact could go through your whole life without even knowing that they exist.
> Instead we can put our efforts into teaching everyone to code: "We Code."
If that's something you want to exist, then go make it - no one is stopping you, and the existence of "Girls Who Code" is in no way an impediment to your goals. I find it a little distasteful to ever say someone should give up on their personal project just because you think they should be doing it differently. Go do it then, if you're so sure you have the answers!