When the Jade Soul King saw Balmodan react angrily to his accusation, he became even more livid. He did not believe the person was innocent at all.
After all, Balmodan seemed so certain that he wouldn't be able to leave. If Thanatos wasn't the source of his confidence, then what else could it have been?
The Jade Soul King was very confident in his stealth ability. As such, he didn't believe that Thanatos could have discovered him unless he directly saw him in person.
Even if Thanatos was the Realm Lord of Gehenna, he was still a Peak Rank 6 Divine Being. Only Rank 7 Divine Beings could become true Realm Lords. After all, only they could bind large celestial bodies such as stars.
Rank 6 Divine Beings could only bind smaller celestial bodies such as planets.
As such, the Jade Soul King didn't believe Thanatos' detection was so powerful that it could cover the entire realm of Gehenna. It should have only been limited to the Shadowcage Territory, where he normally resided.