How does the experience of "realisation of Sunyata" differ from "realisation of Anatta"?

In what ways does the experience of "realisation of Sunyata" differ from the experience of "realisation of Anatta", for the practitioner? The two aims are apparently non confirming, as far as I know, at least that is what their respective schools believe. So in what ways does choosing one ideal over the other lead to a difference in experience for the practitioner?