(MC POV)
The day of the performance came in a flash.
I never really paid attention to what happened to those Spiky Hair people but it seems they weren't performing and none of the troupes Kiyomi bothered had complained about us like she predicted.
I believe the threat of her showing up at their door a second time to bring the roof down on their heads was the biggest deterrence factor. They probably already found out what happened to the troupe that actually went to sabotage us and were afraid we would do the same to them.
It might seem extreme that another theatre troupe resorted to kidnapping in order to prevent another group from performing but it's actually quite normal in this case.