If we are defining value, I would not say that value is equivalent to intrinsic value, or else the phrase "intrinsic value" would be redundant. Currencies have value even though they do not have intrinsic value. Notably, this value is as a medium of exchange, a unit of account, and as a store of value.
Bitcoin's capped supply increases its ability to store value, and so too does its demand increases. Yes, you could make a currency the exact same as Bitcoin, but it probably wouldn't be as good as a long-term store of value, because its network is smaller.