See, I'm not convinced the Voidbringers are necessarily of Odium. They might just be used by him to wreck everything every so often. Also, the Radiants and Heralds might have been grasping for any possible advantage without knowing that the Shardbadles were different from the Dawnblades, like how in the Mistborn series everybody thought the Inquisitors were Mistborn until Hemalurgy got out of the bag.
I'd be hesitant about trusting the Almighty's journal, Odium might have messed with it, possibly in the same way Ruin messed with the Feruchemist's memory metalminds. Ati and Leras had no scruples about that kind of thing, and Rayse (assuming he's Odium) is supposed to be worse.
@rjl: Szeth has been getting some battle rages lately though.