I appreciate an honest question. The negative sentiment around crypto is a bit extreme imo. Bitcoin does have intrinsic value. A trustless P2P payment network has value. Is POW flawed, yes. This is a big reason why I prefer and hold Ethereum. Eth is moving to POS which is vastly more efficient. It also has additional programability in the form of smart contracts that bitcoin does not have. Look into the DeFi space for further use cases.
whats the intrinsic value of anything. currency is just an idea that a group of people all agree to abide by. I wont accept French Francs for payment - 30 years ago they were worth something - now people have agreed it should be replaced by the Euro. there is nothing physically different between the Frank and the Euro beyond the combined trust of the group. BTC is just another example except it doesnt have a physical existence
But the point is that saying that "it has intrinsic value" doesn't really mean anything if one cannot even given an order of magnitude of what it is.
I won't say that the price of gold is directly related to its intrinsic value (there is no way to do "financial valuation" on it) but the situation with bitcoin is even worse. At least there are some industrial uses of gold that can be used to assign an objective value to an ounce of the metal.
You're right. Calculating the intrinsic value of something is hard if not impossible. However, I would argue that global network that enables P2P transfer of a scarce asset is quite valuable. Is it more valuable than gold? Maybe. Only time will tell.