The advantage of this approach is that it gives more control to the distro maintainers and the admins of the computer, taking that control away from the "upstream" maintainers of the software being packaged. For example the software being packaged cannot just call the library bar because bar is not at /usr/lib/bar.so like it is in most Linux distros -- it is at /nix/store/17813e8b97b84e0317813e8b97b84e03-bar/usr/lib/bar.so, but of course the software does not know that unless the person creating the Nix package (the packager) arranges for the software to know it (again sometimes by doing a search-and-replace on binaries).
If the upstream maintainer of foo thinks foo should link to version 6 of library bar, but you think it should link to version 5, NixOS makes it easier for you to arrange for foo to link to version 5 than most distros do (even if version 6 of bar is needed by other packages you have installed which you need to use at the same times as your using foo).
Note that if this separation of packages imposed by NixOS has any beneficial security properties, it is merely security through obscurity because there is nothing preventing a binary from covertly searching through the directory listing of /nix/store/ for the name of the library it wants to call. Nevertheless it turns out the be useful to seize some control away from upstream in this way even if technically upstream could seize the control back if it were willing to complicate the software to do so.
People, including the creator of Nix and NixOS (Dolstra), will tell you that NixOS's main advantage is "declarativeness" (which in the past Dolstra called "purity") or the fact that the compilation / building process is deterministic. I believe both positions (NixOS's advantage is declarativeness and the advantage is deterministic builds) are wrong. Specifically, I believe that although deterministic builds are useful, the separation of packages I described is much more useful to most users and prospective users of NixOS.
Another way to summarize it is that NixOS package maintainers routinely modify the software they are packaging to use less "ambient authority".
I still have no idea how it all works but it seemed prudent for me to at least try.
It's better to instead pip-install Python packages into virtual environments, recent Pythons havr `venv` built in for this purpose. For user-scoped or system-scoped utilities, `pipx` can manage dedicated virtual environments and symlink them into the search path.
I think this is insane. Not only will many packages be missing from Nix, you will also have to wait for the upstream changes to actually propagate to Nix repositories. This all assumes, of course, that there are no packaging issues or incompatibilities in this repackaging.
This is one of the ways that Nix sometimes just gets in your way. I've been using Nix(OS) for several years now, and this still bothers me.
Instead of doing this, For Python specifically I would suggest installing pyenv, which Nix packages. Then enter a nix-shell with a derivation thingie[1,2], and install Python as usual with pyenv. Then you can use any Python version, and with pyenv-virtualenv (which Nix _doesn't_ package...), you can use venvs as you're used to. Sure, you don't get the benefits of the declarative approach and isolation as with "the Nix way", and you may run into other issues, but at least it's a workflow well known to Python devs. Hope it helps!
[1]: https://gist.github.com/imiric/3422258c4df9dacb4128ff94d31e9...
[2]: It took me way longer than I would like to admit to figure this out... This shouldn't be so difficult!
nix-shell -p 'python3.withPackages(ps: [ ps.numpy ])'
In case of Python, you can also go for a simpler option that avoids composing Python with its packages, but that gives worse isolation: nix-shell -p python3 python3Packages.numpy
If other packages were present in that ephemeral environment, aside from python3, they could see NumPy in a global directory. That's why the first option is preferable, as it offers better isolation. In Nix, some languages only let you use libraries with something like the first option. See the Nix user wiki for further information: https://nixos.wiki/wiki/Python.