The screenshot you're asking for will be indistinguishable from any GNOME desktop screenshot you find on GNOME's website. Before giving advice it would be worth understanding the subject matter. It's a new OS, not a new desktop shell.

The title statement "works toward a simplified desktop" makes the authors' focus pretty clear, so it's just fair to look for screenshots. It would be disappointing if it was just the same as GNOME.

Probably meant as "Desktop OS" not "Desktop UI".

A Linux distribution meant for desktop use as opposed to server use.

To quote G.B. Shaw: "The single biggest problem in communication is the illusion that it has taken place"

well that's just what the LWN article states, the project itself does not do that anywhere

the desktops on chimera are standard (gnome/kde/xfce and a variety of compositors and window managers available for installation)

Towards a “simplified desktop Linux distribution”, not a “simplified Desktop Environment”.

The screenshot could be GNOME, KDE, or something else. It would not help you understand what Chimera Linux is trying to achieve.

Apparently the article doesn't help either.