I don't think that tracks; I've always been under the impression that age of consent was just when you could consent to sexual activity. It didn't account for age differences, power dynamics, or other factors that push it towards statutory rape. It was "at this age, they are able to consent to activity", and then you would have the limiting factors of age difference, power imbalance, family, etc applied through other statutes.
I very well could be wrong or just applying knowledge of my own local area to places that don't operate that way, so I'll bow out on that. I do know that age of consent isn't just a blanket shield against statutory rape in some locales or situations, though. The "statutory" part of statutory rape isn't limited to only age of consent.