At best the notions of net neutrality and consumer privacy are somewhat in tension.
At worst, they are in opposition, and harm consumer privacy as happened when the Wheeler-FCC subordinated the goal of what’s best for consumer privacy to the conflicting and overriding goal of what was best for imposing maximal, Title II net neutrality.
Net neutrality and consumer privacy are in tension because they are very different concepts, priorities, and approaches for the handling of information online.
However, the original tension between the FCC’s first concept of net neutrality and consumer privacy was very limited because the Martin-FCC’s 2005 Internet Policy Statement on net neutrality was an extension of the Powell-FCC’s “Internet Freedoms” concept of net neutrality, and both approaches were consumer-first, i.e. very clearly centered around what consumers could expect from the Internet.
What thrust them into the more opposing concepts that they are today?
It was when net neutrality flipped from being primarily a consumer-centric principle to an edge-provider centric principle defined by Google, Amazon, Facebook and Netflix; and from the enforcement of a general broadband nondiscrimination principle, to the preemptive imposition of “the strongest possible,” specific, utility rate regulation framework – i.e. Title II of the 1934 Communications Act -- on a competitive industry that had done nothing wrong to warrant it.