From the moment Lucivar was arrested, he already had a plan to get out.
Since he now was under the deal with the Trading Union, with Dullan, he had another backer who was as strong as the Feradith Family. Additionally, based on Angel, Dullan really needed Lucivar and took on a massive gamble by becoming his sponsor.
Dullan needed Lucivar to win the South Hues Tournament to talk with the governor.
Because of that, there was no doubt that he would hate Lucivar to be arrested.
Not when he had already announced Lucivar as the Trading Union's champion.
Just seeing the news and articles alone melted the director's hostile demeanor, he couldn't scare Lucivar as he initially planned. If he did something to Lucivar right now, the Trading Union would create trouble for him and Zed's footage would be leaked.
At that point, coupled with the public's blame on the green dungeon incident—his career would be over.