Exactly! Bitcoin gives you freedom from centralization and the greedy practitioners present in the Federal Reserve. By using Bitcoin you are indicating that you are your own bank and have total control over it. No ones there to mint fiat/ paper money out of thin air and then pump it into the economy which makes no sense.
miners are the mint. the blockreward is minting funds out of thin air..
the difference however is that it is controlled output that cannot be manipulated or run a muck even by those creating the funds.
different implementations like multibit, electrum are the equivalent to regional bank ATM's all connected to the same network developed by bitcoin-core but managed by different companies.
so it gives you freedom from government.. but is not 100% freedom. after all bitcoin-core's next implementation could totally avoid including the ability to import standard private keys, forcing people into moving funds into HD segwit keys. or be left behind.. if they wished to..
or even change how the blocks are transmitted and what information is included in them. if they wished to..
bitcoin core is the federal reserve. if your not using their network then your using an altcoin
the only difference is that its alot easier to make your own implementation that sticks to the 2009-2015 rules and ignore any sinister rules future changes, weakening core's control of future direction if everyone else done the same, should bitcoin-core decide to take things in that direction.
so although its not government controlled.. its not 100% user controlled.. its a public democracy with known leaders, not a public society managed individually. and as long as bitcoin-core stays moral and does not abuse its democratic power, they will continue to lead the way. if they start doing plans that dont sit well with users then there would be a revolution into a more society managed network. where there are 100 different implementations all working together to ensure one doesnt force the network down a dark path
so dont be too dreamy that bitcoin is not controlled.. otherwise you will let things happen that your not aware of, until its too late.