There is only the subjective value of an individual and the objective value of the market place.
I can say I don't value water, but the market can never say mankind doesn't value water. When you say intrinsic value you really mean objective market value.
Yes, and this subjective value is called marginal utility, whereas the objective value of the market place is called price (not necessary in money terms). Let's start at last using correct and strict terms?
Agreed. Marginal utility is a much more precise term, and has everything to do with bitcoins & gold. Gold's marginal utility is very small compared to it's market price, so the argument that gold has marginal utility (while assuming that bitcoins do not) is of small merit at best. Gold is, by and large, valued by the market for it's monetary uses; particularly it's store-of-value monetary utility. Bitcoins are, by and large, valued by the market for it's monetary uses; particularly for it's frictionless-global-medium-of-exchange monetary uses. Neither gold nor bitcoin can compare to silver for non-monetary utility, but then silver isn't really a monetary commodity in our modern industrial society, but an industrial commodity. It's value is, by and large, set by current and near term industrial demand for silver; not by long term speculation on it's future trade value.
I could argue that the Bitcoin network has features that grant bitcoins a non-monetary utility, but I don't think that such an argument is worthwhile.