Firstly, I am not trying to "get" you on anything. I am trying to arrive at a common denominator in terms of the terminology used, so that we can have a meaningful discussion.
The correlation discussion is only relevant because you suggested that correlation between the Fed's loose monetary policy stance and commodity price rises implies that the Fed can affect commodity prices. I am simply saying that this reasoning is plain wrong. If you want to drop correlation as an argument, I am happy to do so, since it's a poor one and not at all interesting.
I am happy to discuss the liquidity issue. In answer to your question, if monetary policy is loosened, central bank liquidity doesn't necessarily increase. In general, CB liquidity and monetary policy are quite distinct and you can observe that by looking at the European Central Bank. The ECB has done nothing in terms of monetary policy between May 09 and Apr 11, but it did a LOT to affect the liquidity conditions. Most recently, the ECB acted in the traditional monetary policy sense, but those actions had virtually no effect on CB liquidity. So monetary policy doesn't translate one-to-one to CB liquidity. Furthermore, CB liquidity doesn't necessarily translate into mkt liquidity. If it did, there would have been no credit crunch.
As to speculation, I am not being pedantic. I am actually curious how one could ever distinguish "fundamental" demand from "speculative" demand. Obviously, there are some simple cases, but I don't see how you could easily formalize this. For example, if I am not a jeweller and I buy gold, does it mean my demand is a priori speculative? Or should I fill out a questionnaire before I buy this gold to inform the mkt that I am buying for "speculative" purposes? If I trade some Eurodollar/Trsy futures to hedge the interest rate exposure of my mtge, how you're gonna distinguish my "fundamental" demand from the times when I just feel like a bit of "speculative" punting? I have the same problem with the authorities (US Congress, the EU, BaFin) trying to go after the "evil" speculators.
Now as to your final point, that's the crux of the matter. Shock & horror, I actually agree with you that low policy rate in the US "encourages" certain capital allocation decisions. Specifically, out of cash/trsy bills and into "assets". This isn't a secret, but rather an explicit goal of current monetary policy. However, who decides which assets should capital be allocated into? Surely, it's the investor, not the Fed. For example, why don't the US investors put this "overflowing" money into Las Vegas and Florida real estate? Why in Japan, with their chronically low rates and abundant liquidity, do households and institutions overwhelmingly allocate capital into govt bonds? I propose to you that the decision to allocate capital into commodities specifically and the resulting price dynamic ultimately reflects a certain widely held consensus view, rather than an overabundance of liquidity.
Does that make sense?