Those stats are very unreliable. Most Linux web browsers (including Chrome) do not send the specific distro they're being used on. Ubuntu patches Firefox to include Ubuntu in its User-Agent, but most other major distros do not.
Installing Ubuntu GNOME and then installing Cinnamon would give you a nearly identical setup. Cinnamon is basically just a replacement for GNOME Shell. You could also install Nemo if you prefer that file manager.