Where is the centre of gravity of the item in relation to the current suspension points?
My guess is that it is somewhat above those points, meaning it will be unstable as shown, but stable once upside down.
Bolting something rigid to the current fixing points and then relocating the hooks upwards to co-incide with the centre of gravity would make it roll consistently/controllably through a full rotation.
As it is relatively short, consider the possibilities of rotating about an axis 90 degrees to that implied by the photos. That could make fixturing easier.