The default path could be changed too, of course, but putting it under your home directory would mean that you could only share cached packages with other people that share your username. It would also break NixOS, since that uses Nix to manage the entire system.
> It means I can migrate things completely by copying one directory, rather than using an "Installer" in the Windows tradition.
Nix ships with a specific tool for copying packages (including dependency trees) between computers, nix-copy-closure. But this also assumes that the store path is the same.