In finance/economics, the two terms are completely different.
Bitcoin has intrinsic value. The damage and drawbacks created by traditional "currencies" goes against almost every single one of Bitcoin's founding principles.
That is why it is important. By getting the messaging through that it is MONEY and not CURRENCY will make a bigger impact on people, particularly people with financial/economics backgrounds.
Ok, here are the definitions from Investopedia. They imply to me that "money" is a technology, and a "currency" is a specific manifestation of that technology, but I see no distinction based on intrinsic value.
Money is an economic unit that functions as a generally recognized medium of exchange for transactional purposes in an economy. Money provides the service of reducing transaction cost, namely the double coincidence of wants. Money originates in the form of a commodity, having a physical property to be adopted by market participants as a medium of exchange. Money can be: market-determined, officially issued legal tender or fiat moneys, money substitutes and fiduciary media, and electronic cryptocurrencies.
Currency is a medium of exchange for goods and services. In short, it's money, in the form of paper or coins, usually issued by a government and generally accepted at its face value as a method of payment.
Currency is the primary medium of exchange in the modern world, having long ago replaced bartering as a means of trading goods and services.
In the 21st century, a new form of currency has entered the vocabulary, the virtual currency. Virtual currencies such as bitcoins have no physical existence or government backing and are traded and stored in electronic form.
Perhaps you can convince us that your definitions are those used in finance and economics by providing a source.