There's a random part, and a non-random part to CCD noise. Making use of the non-random part is a good idea, but one first needs to figure out which parts of the noise are caused by the true randomness.

The non-random part consists of biases of single transistors and such. The random part consists of real physical random things (e.g. the exact amount of photons that happened to hit this cell during the observation). The trick is to find which part is random and which is not.

Counter-thesis: If the noise was completely non-random, it could be exactly determined, and thus completely removed from the result image.