I don't think the image is linked properly; it doesn't look like the Heavy Metal style at all, nor does Heavy Metal have Propaganda Machine on its trope list.

What should we do about this? Does anyone know where the image IS from? ( It looks to me like an early-to-mid-2000s video game; reminds me of Warcraft III )

Probably not an example. A Lotus Eater Machine is not a Propaganda Machine.

• The Matrix series: The Matrix itself could be seen as a form of Propaganda Machine (a Lotus Eater Machine, actually), employed by sentient machines to prevent humans from discovering that they are merely energy generators for said machines, the dominant "lifeform" on the planet.