The USD is no longer backed by gold and you could say it also has no intrinsic value.
Intrinsic value is the value it has even if it is not thought of as a currency or unit of trade.
That's like, your definition dude.
https://www.investopedia.com/terms/i/intrinsicvalue.asp
> The intrinsic value is the actual value of a company or an asset based on an underlying perception of its true value including all aspects of the business, in terms of both tangible and intangible factors. This value may or may not be the same as the current market value.