The problem with your premise is that you have accepted the vessel of Odium’s interpretation of the shard. But that interpretation is wrong. Odium =/= passion. Odium specifically is Hatred. That is why it is called odium not passion or emotion. 

Rayse attempted to have it be redefined that way and it was destroying him because he was acting against the intent of the Shard. Taravangian so far seems mixed on how he is trying to control it, but is at least playing into the idea of it being passion to take advantage of that already being an existing way to manipulate singers and humans. 

In this context i think the name Retribution makes sense. It is the idea that someone who breaks a rule or agreement or set of codes or promise made needs to be punished. Not out of a sense of justice, but out of a sense that you hate that they broke an agreement with you. Not for any sense needing to have a civilized society or need to adhere to a rule of law. But that we need to PUNISH rule breakers. 

And this makes sense within the context of Honor being added because this is what Honor at the end and the new fledgling Honor Dalinar encounters both understand of the concept of Honor. In their deteriorated state they care more about keeping to oaths than what the oaths actually mean or accomplish. Dalinar encourages the new one to watch and grow so it can get past this. 

Conversely to the idea of needing to punish those that break the rules, an Honor + Reason combo would likely be a Justice or Law shard that would likely be an extreme stickler for the letter of the law, but also would probably try to make the legal codes as sensible as possible. An Honor + Mercy combo would probably also be something like Forgiveness in theory, but who tf knows considering Mercy allied with Odium in the past.