Earlier quoted context omitted.
If we take 'intrinsic value' to mean 'having some use other than to simply trade away again to someone else, or being backed by something with intrinsic value', then the dollar has intrinsic value in that it is backed by freedom from being prosecuted by the US government for non-payment of taxes.
The topic of debate is whether bitcoins have intrinsic value. Taxes are not the deciding criteria here. If the government did away with taxes, currencies (whether it be USD, Euro, BTC, etc) would still have value as an instrument used in barter.
'Intrinsic value' meaning 'objective value' is a useless concept because all value is subjective.
What I think people generally mean when they say 'intrinsic value', especially when talking about currencies, is something more like 'having some uses other than to simply trade away again to someone else, or perhaps being backed by something which has intrinsic value'.
Dollars have intrinsic value according to that definition, because they are backed by the fact that there are many people who must give the US government dollars in order to avoid being prosecuted for non-payment of taxes. That's where taxes come in. Without taxes, and perhaps some other things like legal tender laws, dollars would have no 'intrinsic value' according to this definition, just like BTC.
Both USD and BTC could still have value, even if they don't have 'intrinsic value' according to that definition.