No, because that would be comparing the number of official packages + third party packages with duplicates in Arch against the number of official packages in Nixpkgs. That's as fair as comparing the number of official Nixpkgs packages + every unofficial Nix package on GitHub against the number of official Arch packages.
A direct comparison with AUR is meaningless though. AUR is very unusual because it allows anyone to freely upload packages without going through review. So there are many duplicates and packaging quality varies wildly.
An unfortunate huge one is any way to interact w/ Intel Optimus. I can't be the only dev that wants to eat my gpu cake and have my battery life optimization cake too.
Bumblebee and optimus-manager both solve this in the aur.
NixOS also has tools and options which are not all pure and declarative, they're just not considered, "the way."
I find NixOS to have a bit of a high learning curve, but worth it for the power and reproducibility.