Hey, I don't post much, but have been reading lately and thought I'd share my thoughts.
I was kinda surprised at how much Odium seems to encompass, as well, but there's one point that I think is also important to consider. I think the letter in the Epigraphs in Words of Radiance is important to this. It says that Rayse "bears the weight of God's own divine hatred, separated from the virtues that gave it context." (WOR Hardback American Edition, p. 840). I would think that some of those virtues would include positive aspects of "Passion," like determination, or other positive emotions. Now maybe Rayse is influencing the absence of these virtues in his description of himself, or influencing what he shows Dalinar.
When I first thought of this quote I thought it said that "he is God's own divine hatred" or something similar, but it doesn't. "He bears the weight of" that hatred leaves room for his shard to encompass other aspects as well, but I still think it's an important quote to consider in this. It will be interesting to see whether the name remains as Odium or changes to Passion or something similar (Out of Book of course, I think it's pretty well established in book that he's Odium (which may be direction in and of itself).
I want to try and figure out where this might fit in, but it is getting kinda late.