>Roundabouts are much simpler, aren't they? They don't even have any moving parts.
With traffic signals, much of the cognitive load is offloaded from the driver. The driver only needs to pay attention to the signal and whether there are any hazards in his planned direction of travel. A four-way stop signed intersection can produce similarly simpler results compared to roundabouts.
With roundabouts the driver needs to count or be thoroughly aware of his planned exit, maintain an appropriate speed and curving direction of travel throughout the roundabout, yield or not yield according to traffic at any given moment, and obviously whether any hazards are ahead or near him. That is not simple.