Being deeply connected with the events surrounding the war, House Kairos was at the center of the conflict. They were used as pawns for both the Bene Tleilax as well as their enemies, as the Spider used the family's mentat to develop counter measures for some of the bio-weapons that would've been used during the war.
Losing her sister, Freya was personally invested in pushing back against the forces of Master Kosh. While many will not know the role the family played in allowing the Face Dancers to infiltrate House Draco, the people of Azhar will remember the brave defense they put up during the siege of Lumen.
In the aftermath they were helped to rebuild, as Freya's marriage to Alvar secured aid from House Helheim and their stage shows would be the only form of large scale entertainment that the planet will be able to enjoy until Lady Orpheus managed to rebuild Yorrith.
Rianne left as the main advisor of the House and Gary became a full time representative of Malenkov, facilitating many deals over the next 8 years. Enrico and Nyra stayed around, keeping the House in a position of power.