Scorpion could also have a mill subtheme when it comes to dishonor.
If I am correct, running out of cards in either deck forces a reshuffle with a -5 honor loss slapped onto it. Maybe we will see scorpion attack their decks, proactively stopping threats before the opponent can use them.
Kitsuki Investigator already shows us that hand disruption will be a think in this game, maybe scorpion doubles down on it. It makes the oppoenent draw their deck for a minus 5 while also dishonoring and then removing characters while using the Ring of air to drain? I don't know. I personally think that outside of Phoenix and MAYBE Lion we wont see honor victories happen and the few we do see will be very rare. I doubt any clan will be able to win by dishonor with just the core set, not if players are knowingly aware of it, until the game can actually enhance that win condition.
Out of core, I expect Scorpion to use dishonor to debuff the enemy and unlocking abilities on their cards. Just like crane needs honored bodies for their cards, scorpion cares about dishonored opponent cards. Then you will see Covert being their main way to actually attack efficiently since it is the ninja style mechanic.
How it all plays out is anyone's guess, because I believe that phoenix really caught most players completely off guard and scorpion will be very similar.