Out of their obsession with reviving Muku, neither Mui nor Ryūzetsu refused Soji's conditions.
And just like that, the matter was settled.
As for everything else, it had nothing to do with Soji.
From beginning to end, Soji had only two goals: to subdue Mui and Ryūzetsu while ensuring Naruto and Karin's safety!
As it happened, both of their obsessions centered on Muku, so Soji did not need to do anything else.
As for Konoha sending people to Hozuki Castle afterward to hold Matsuru Noyaku and the other Kusagakure higher-ups accountable, Soji could not be bothered to concern himself with it.
After Soji shut down the "Box of Paradise," Mui ordered the Hozuki Castle prison guards to apprehend Matsuru Noyaku and the other Kusagakure higher-ups.
For some reason, Naruto did not tell the Konoha Ninja who later arrived at Hozuki Castle that Mui had extracted his Chakra to open the "Box of Paradise."
It could be said that after Mui revealed that he had opened the "Box of Paradise" solely to revive his son Muku, and that he bore no great hostility toward Naruto or Karin, Naruto had taken pity on him.
Moreover, Ryūzetsu spoke well of Mui in front of Naruto afterward, so the kidnapping of Naruto and Karin was pinned entirely on Matsuru Noyaku and the other Kusagakure higher-ups.
Afterward, because many people in Hozuki Castle had witnessed Mui falling out with Matsuru Noyaku and the other Kusagakure higher-ups, Mui was completely removed from the matter.
The only people Konoha pursued were Matsuru Noyaku and the other Kusagakure higher-ups.
As for how the negotiations between Konoha and Matsuru Noyaku's group ultimately went, Soji did not interfere.
What Soji wanted to do most now was research Ryūzetsu's Kekkei Genkai!
Since Mui had already purchased plenty of large-scale research equipment