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Giratina, and the other two for that matter, don't have "jobs". They just exist and their existence creates the balance of the world's fundamentals. It's in their nature to deal with disturbances or threats to the balance, they probably do "think" or make decisions, but their rationality would be quite different from a human, more similar to other pokemon but on a higher level.
Let me put it this way: in our world a lot of the gods are perceived as basically supremely omniscient powerful humans "man made in his image" as an example. So it's easy for us to think of "gods" with this similar to human rationality but these are gods that are more like animals. They just do what they do. It isn't a hawks "job" to kill rabbits. It isn't the "overseer" of the ecosystem, even if it does keep it in check by killing rabbits.
OKAY, finally, Also, Giratina can have this role in reality while still being violent and unpredictable. That's why it was banished to the Distortion World. If Giratina didn't still have an important role to fill, and or also if it's rage was a true threat, it's reasonable to assume Arceus would have just killed it than banished. So we can conclude that while Giratina may start destroying shit, it won't destroy everything beyond reversal or repair because frankly Arceus wouldn't have kept it around then.
Oh yeah, Cyrus. I don't really get him, I think his character is just badly written. Actually all of Galactic. At least Gen 4 has the luxury of you can just mash A through this slop pretty quickly.