AUR is similar to flathub in that most packages aren't thoroughly checked. Except for the packaging guidelines which usually have to be followed. I'm not sure how in depth nixpkgs or other distros check the source of packages of new maintainers.
Flatpak runs on all distros and supports sandboxing, which makes it a great addition to all distro repos. AUR can cause issues with dependencies and unmaintained packages, and the make file should be read since it's run with root privileges. Additionally the AUR only works on Arch Linux. Breakage isn't a risk with Nix and it's seamless rollback, but has to be installed deeply into the system (/nix
)
My personally preferred package manager for most GUI apps is flatpak. Nix is great because it allows to install packages declaratively.
Edit: NixOS -> Nix