((I have the full Geminine lore up until Megan died, it's essentially been passed on to her children. It's still in circulation.
I also disagree, House Geminine didn't die because Joeq left. A single person doesn't make a house, and the Geminines in Elysium and the beginning of Anthos were strong.
While I agree that a new house would be much better, I don't see a problem with people wishing to continue as decedents of House Geminine. The characters have been played out correctly - they have every right to.