Fortunately, those same legal principles in the US cannot be overridden by a treaty.
Unfortunately, the UN mostly works as a venue for governments negotiating with governments, with accredited NGOs having a position of being tolerated in those discussions, but with no real power. Outside of those tolerated NGOs, influence drops even further.
(When I was at EFF, we did try to get UN official accreditation, but China would consistently veto it. There are other digital rights groups that have been accepted though, and we worked very closely with those. The full list of NGOs are here: https://en.wikipedia.org/wiki/List_of_organizations_with_con... )
I think it almost doesn't make sense, in that I perceive EFF to be, whether overtly or not, a very American organization with very American public policy views.
The EFF isn't like that - for example, the idea of outlawing DRM, while popular among hackers and people here, is a total nonstarter internationally. It's about as effective as hiring the FSF to lecture Microsoft; or hiring PETA to lecture Tyson; or hiring the Amish to lecture you on electrical design. The opinions are so diametrically opposed that it's not even worth considering.
EFF and partner groups often contribute to government and international proposals (a hundred-or-so of them have been involved in the cybercrime treaty process for many years https://www.eff.org/deeplinks/2024/01/joint-statement-propos... and I believe got it to a fairly good place before a last-minute push by some states to introduce more surveillance into it.)
You don't really get to hear about the compromises, because you don't really need to kick up a fuss about something that has worked out okay -- and even if you do post about the positive fine print, nobody sends such exciting documents to the front page of Hacker News.