I expect the correlation between this "value" of mining hardware+electricity and the BTC exchange rate to be much stronger than difficulty/exchange rate.
I think you missed two important part of this thread: the fact it's about predicting difficulty and the fact that difficulty can be modelled as occurring due to changes in price.
I think your post is implying that exchange rate might be a function of the total US$cost of mining. In that case difficulty would be a function of the total cost of mining. This may be true (and I'd be interested to see a thread on it) but it's not what i'm considering in the blog post. Also, I could be wrong but you seem to imply that difficulty could affect exchange rate? I've tried to dispel the myth that difficulty affects exchange rate in any significant way so I hope I'm wrong.
before everything is repeated here. Here's a recent example of the issue being discussed. The OP was confused about the issue and asked wether there was a correlation. After some explaining he said
EDIT: As far as I remember that thread also goes into possible factors that might constitute an influence from difficulty on the price, but I think it was argued that these effects were much weaker than the effect of price on difficulty.