You probably installed GNOME on first laptop but didn't notice (or it came ad a dependency with something else). However, you only need Wayland to run Waydroid, so any DE or WM that made for Wayland should work. On the other hand, Cinnamon is still on X11. You cannot run Waydroid on X11, hence the black screen.
Cinnamon can run on Wayland but it's still experimental. You can install any Wayland DE of your choice, not just "Ubuntu DE", which is kind of heavier than others, but it's fine if you want that.