No, this isn't about limitations of the information transfer model. I discussed some of those here. I'm talking about two limiting cases.
One limit is the high inflation limit; according to this calculation, high inflation means that κ ≈ 1/2 and the information transfer model reduces to the quantity theory of money.
A second limit is the large Monetary Base (currency component) limit. In this calculation, I show that for some value of MB > MB0, we have ∂P/∂MB ≈ 0. This result means changes in the monetary base don't affect the price level P and hence don't strongly affect NGDP. Therefore, in terms of the price level NGDP can be considered approximately constant (aggregate demand is a constant information source) with respect to central bank operations, the IS-LM model is valid for the effects of interest rates and the information transfer model reduces to (Hick's description of) Keynesian economics.
Thus the two big theories of the last century in economics are specific limits of the information transfer model.
Now if I could just attract the attention of the economics Nobel committee ... or really any economist at all.