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.
This actually isn't a great example: the Amish do use electricity on their farms. They just don't like to be connected to the grid, so they're big supporters of solar power. They probably know a lot more about electrical design than you think (depending on your definition of "electrical design"). They even have internet-connected computers so they can get orders from customers.
A better example might be hiring the Amish to lecture you on public transit design in dense cities. Not that they're opposed to it, but it's just something far outside their experience (they don't live in dense cities). Or back to electricity, having them lecture you about grid-scale electrical transmission, or nuclear power generation.