Buying gold and storing it in your basement is just speculation. It doesn't provide any value on its own. You aren't using the gold for any immediate purpose, but just hoping that value increases beyond the market value in use for production.
Gold could have some intrinsic value as a signaling tool via jewelry etc, and this could conceivably drive value.
But you can't wear bitcoin
It's also true that intrinsic value can be different for different people, depending on how subjective it is. Gas may be worth up to $10/gallon for me, because without it I can't make any money. If I work from home, I may only be willing to pay $1/gallon for gas. Thus intrinsic value is usually a function rather than a static property, and inputs change over time. A consumer who is a billionaire may also be willing to pay a far higher amount for a good than somebody who's middle class. This could push market price higher, despite the core value of the good being unchanged. The value function is always there though, and it likely has millions or more parameters with different weightings.
So TLDR; price is a market determined value, intrinsic value provides justification for demand, which feeds into price.
A bubble is usually a result of price running far ahead of any justifiable intrinsic value. When price is far ahead of intrinsic value, it usually means it's being driven by "speculative value". Pokemon Cards, Fine Art, Wine, Beanie Babies. The actual use value of these is minimal, but people buy on the expectation that people in the future will value it even higher. You can make a lot of money via speculation on things like this, but there's also nothing supporting the price.
For an alternative example, if I buy a stock that yields a safe 10% dividend, then I can easily quantify the worth. I put $1m into it, and I get $100k a year forever. Can it fall 50% in value to a 20% yield? It's pretty much impossible, assuming the market believes the yield is safe. This is why fundamentals and intrinsic value matters a lot in investing
> But a portion of gold's market value is driven by a speculative spread over the intrinsic value, similar to BTC.
What is the definition of intrinsic value that allows both of these interpretations to be true?