Positive and negative freedom and nihilism

I have alway thought of nihilism as a type of choosing in which all options are equally valid, ... which would mean that nihilism is a form of negative freedom.  And yet it has also seemed to me that there must be some distinction between nihilism and negative freedom.

Negative freedom is the concept sustaining basic libertarianism, in which all human action is promoted insofar as it does not interfere with others, but libertarianism does not mean all choices are equal.  In fact, it merely establishes that law should work to protect all action, while society will approve or disapprove of human actions (and by the latter, distinguish values).  It seems a good model for comprehending historical change.

And yet, positive freedom implies a correct path, action, idea, against which our approximation is a measure of our freedom.  Who clings more closely to the idea, is more free.  The most prudent person  is the most free person.

Whereas, nihilism seems to impair choice, such that the action of choosing is pointless.  In that respect, it would be separate from negative freedom?  Negative freedom celebrates choice, without affirming any particular choice over another?