This is because of its decentralized structure. However, there are some differences between democracy and not being the center of economy. Democracy is all about administration. It must be a matter of choice. I think we can give Bitcoin an example of democracy in economic structure.
I agree, although I think that what he might be saying is that decentralization of bitcoin is an example of democracy. Because it is not regulated by the government or any rulers, the users do not have to answer to them, and can use the currency however they want. Furthermore, the transaction is faster than traditional banking or payment systems because there are no third parties. At least that is how I understand the post. I could be wrong, though.