Specifically, uncooperative systems running at the same time was exactly how fault tolerance was achieved on the space shuttle[2]:
>For true redundancy to take place, all computers must listen to all traffic on all buses, even though they might be commanding just a few. That way they know about all the data generated in the current phase. They must also be processing that data at the same time the other computers do. If there is a failure [...], since the Shuttle's other three computers are sending apparently correct commands to their actuators, the failed computer's commands are physically out-voted
That's just one example. There's no need for the definition of the word "redundancy" to be as narrow as you said.