Yup. I was taught to diagram sentences in school, but it seemed a useless skill, and I no longer recall any of it. I know if a sentence is grammatically correct or not just by reading it. There's no conscious thought process to it at all.

I read a great deal as a kid, too. Mostly scifi :-)

I made the mistake of attempting to learn German by memorizing. But who can remember which nouns go with der, die, or das? Not me. I bet the right way is to simply read the newspaper every day, looking up the words one doesn't know, one by one.