By definition alone, net neutrality seems to run counter to the notion of privacy but if you think about it, the issue of privacy stands out only because corporations like Google or Microsoft use means of invading other people's privacies to further increase profit and centralize authority. If there were a means of decentralizing web control then there just might be lesser privacy invasion. People, in my opinion tend to bother other people less if they have enough freedom to express themselves.
Can history erasers go in tandem with Net Neutrality?
There is, in my mind, no doubt that the only obstacle to history erasers or privacy software are browser protocols implemented by either Microsoft, Google or Mozilla that restrict and constrict software like history erasers. As platforms get less standardized or restrictive then history erasers should have no problems running on different systems and environments to delete and clean up your computer.