Do you have a quote for the first point? It doesn't sound (i) correct, or (ii) like something Cynthia would say.
Basically, its either your statics approach meaninglessness and maintain the individuals privacy or "overly accurate estimates of too many statistics is blatantly non-private"
[0]http://static.googleusercontent.com/media/research.google.co...
[1]https://www.chromium.org/developers/design-documents/rappor