In 2401, Konjah was replaced by an Undine but was exposed after being attacked by a group of Lethean mercenaries. The House of Konjah was later disbanded by the Klingon High Council. (STO novel: The Needs of the Many; ST website: The Path to 2409)
By 2409, the House of Konjah had been restored. In that year, a member of this house participated in the annual bat'leth competition on Forcas III. The bat'leths of House Konjah featured elaborate targ-skin grips but appeared otherwise ordinary.
The training room assigned to House Konjah was searched by Ambassador Worf, his son Alexander Rozhenko and a Klingon Defense Force officer for signs of collaboration with the Romulan Tal Shiar. The investigators did not turn up anything incriminating House Konjah. (STO - Warzone mission: "Bringing Down the House")