According to Gavin Anderson, the first thing he focused on after Nakamoto left the project was more decentralization. Anderson wanted Bitcoin to continue to exist independently, even if "he had an accident."
For many people, the main advantage of Bitcoin is its independence from banks, corporations, and governments around the world. No single authority can interfere with Bitcoin transactions, impose transaction fees, or seize people's funds. Furthermore, Bitcoin transactions are extremely transparent - every transaction is recorded in a large distributed public ledger called the blockchain.
Essentially, while Bitcoin is not controlled as a network, it gives users complete control over their money.