I am afraid this is incorrect. The problem is, you seem to have a very basic, early 19th century, Jean-Baptiste Say style concept of money. This early school was, too, of the opinion that money's only role in the economy is as a medium of exchange, barely abstracting how the underlying economy is just the exchange of commodities. Thus Say's law as corollary.

But this analysis misses the time dimension of money: lending, borrowing and interest [1]. Keynes knew that, and before him Marx, and I bet someone before him too. And in this aspect, I find Bitcoin to be an irreversibly brain-damaged, if interesting, experiment. I look at it and see a massively deflationary currency, dependant on a empirical rule of thumb (Moore's Law), that is even today failing to accommodate the mildest exponential growth. When your currency gains value by the hour, actually borrowing and trading and doing capitalist things are losers' propositions.

Don't get me wrong, I see value in an automated currency that can provide at least an amount of anonymity [2]. In my opinion, Bitcoin is just not it. When your economic theory is still getting an erection over the gold standard, like some 19th century robber baron, you know you just don't have the economic chops to do it. No sane modern-capitalist economy can be given birth by faulty economics.

[1] Unless of course you belong to the school of the Austrians, like whomever wrote the "deflationary currency" joke of an entry in Bitcoin's Wikipedia. For you all evil's root is either the government or fractional reserve banking, so I'm obviously wrong.

[2] Maybe with a fixed 4% inflation rate, like Milton Friedman suggested. It could also be a fiat currency, and simultaneously decentralized and anonymous, if we could take the principles of the free-banking era, see why they failed (because they failed by themselves, no amount of austrian self-bullshitting will change that) and fix them. Who knows, I'm not an economist.