not having to pay attention to the keyboard, your fingers should know what do without taking up mindspace

Yes, this is a critical skill. Especially when someone is learning programming, it is so sad to see their thinking interrupted all the time by things like: "when do I find the '&' key on my keyboard?", and when the key is finally found, they already forgot what they wanted to write.

your typing being able to keep up with your thinking

This part is already helped by many development environments, where you just write a few symbols and press Ctrl+space or something, and it completes the phrase. But this helps only with long words, not with symbols.