Thought experiment.You are free to think whatever you want.
If you really think so, then you haven't heard me signing yet!
"Value" is a term that is vastly more open than just simply whatever goods or services you can trade something for. I would also strongly argue that it is never "intrinsic" as you put it: If anything has value, it is because it is being valued, which is contingent on a person or group of people who value things.
No matter whether we're talking about moral, social, or economical value - something can only have value when there are people who value it.
I would argue that nothing is intrinsically anything at all.
Money is a social construction we use to denote economic debt and exchange value. In this socially constructed form, it can be manipulated in logically coherent and predictable ways, and is stable enough as an intersubjective phenomenon to become the basis of a huge portion of our everyday economic activity. It has a definite and observable social and socio-economic reality that reaches beyond individuals, groups, and singular institutions or organizations.
As an observable social phenomenon, it is arguably more real than most people.
Yes, it is contingent on a specific socio-economic configuration that is not going to exist forever, but the same could be said about literally any element of our society, including our own social identities.
Think of a song you partially like. Something that has meaning to you, or maybe you just really like the tune, whatever.
Now imagine that every other sentient being in the universe agrees that that song sucks, that it has no value.
Do you still like that song? Is it still a song?
Now do the same thought experiment with your favourite currency. If no one agrees that it has value, it is not money.
I think it is clear there is a difference between the two concepts.