Rule R3c states:
In regards to cables, what qualifies as an unnecessary risk of entanglement? If a cable has a collapsible metal backing, such as that in the attachments, would that be sufficient to eliminate the risk, or would it have to be something sturdier?
Stretches of cables that extend past the robot base are typically considered an unnecessary risk of entanglement. Backing cables with a rigid material, as shown in your linked images, typically removes this risk. We cannot issue blanket rulings on hypothetical designs here, however based on the images shown, the robot in question does not seem to be in violation of <R3c>.