The point of the person you're responding to is that the NYT doesn't need to seek names or addresses, because they're already public information. Anyone can go look up the docket and see them[1].
So, their argument I believe is that, given that the names and addresses of the filers of comments are already publicly available, what further privacy concern is there in releasing IP address information?
And there might be one. IP address & UA might further allow me to correlate the user's activity elsewhere; some comments didn't submit names or addresses — IIRC these were "required" but some people filled in the fields with things like "none".
There were also allegations that the names of some comments were falsified on comments not in favor of net neutrality. IP address information might lend evidence to or against those allegations.
[1]: https://www.fcc.gov/ecfs/search/filings?proceedings_name=17-...