I disagree with Saifdean's underlying premise (his unspoken premise is that the Fed would be against this).

Look its just a question of balance-sheet accounting. If you were the Fed what does your balance sheet look like? There are assets (Gov Bonds and now things like mortgages) and there are liabilities (Federal Reserve Notes).

Why wouldn't the Fed want a non-debt asset that inflates forever directly against its liabilities?

The problem with the Feds current Assets (Gov Bonds) is that they are debt, thus one must be wary of the credit worthiness when valuing the balance sheet. Bitcoin is a sort of magic fix for the balance sheet of the Fed in that there is no "credit risk" component its free from counter-party risk.

Gold should perform this role, however due to shortsighted law by Congress, the Fed is forced to value the gold it holds at $42.2222 per ounce (imagine if Congress passed a law mandating that the Fed had to value its bitcoin at $1000 in perpetuity!). Thus, the Fed has little interest in owning Gold....however it may get a second bite at the apple now that Bitcoin is here....