It's also super disingenuous to suggest that the Bitcoin network isn't collecting its take. Miners are collecting block reward in the amount of 0.004BTC per transaction, roughly $250. This is a direct reduction in net welfare of the system. That's on top of the transaction fees of roughly $3-5.
So yeah, Bitcoin costs $255 to transact, vs a free ACH.
This is also not intrinsic value. Intrinsic value is the calculated value of Bitcoin which remains $0. All value ascribed to Bitcoin is extrinsic, and this transaction extracted non-trivial value.