I think it's a lot more complicated than that. Yes there are plenty of people that use Docker as a package manager, but I think that's a failing of traditional package managers rather than a failing of Docker. You could, for exactly the same reasons, say that Nix is Nix Containers[1] Done Right but if that were true then Nix Containers wouldn't need to exist in the first place.
[1]: https://nixos.org/nixos/manual/#ch-containers