This was something that came up while I was fixing Destinypedia’s article of Simiks Prime (ha, only two references for it in all of Destiny…)
Like the House of Wolves and hypothetically Devils, the reemergence or continual survival of their Prime Servitor virtually ensures that House will continue to exist even if there are no Kells or Archons or Barons left.
The Wolves clung on in the Prison of Elders by rebuilding Kaliks, even though the real Kaliks is hiding somewhere out by the moons of Jupiter, and those who escaped rebuilt Orbiks Prime, even though the last of the Orbiks Servitors, Mecher Orbiks-11, was destroyed during the Wolf Rebellion.
Similarly, from what we can see in-game, the Devils lost two Kells—potentially one to Rezyl Azzir and Solkis to Saint-14—yet they have continued to survive because Sepiks Prime was still alive, as well as its Archon. Disregarding the House of Kings and their rumoured control over Devils, this is proof a House can still live as long as its Prime is alive. The Devil Splicers attempted to gain control over Devils by resurrecting Sepiks, and nearly succeeded before we destroyed it again.
So the state of the major affected Houses are:
House of Devils—lost Kell(s), lost Archon; hung on with Sepiks until it was destroyed twice
House of Wolves—lost Kells, lost Archons, lost Barons; hung on with not one but two separate Primes until their destruction; still has original Prime in hiding
House Winter—lost Kell, lost Archon, lost leadership after Skolas killed them all; Prime either destroyed or in hiding
With Bungie’s penchant for stacking up unfulfilled plot points in Destiny, it seems to me that Simiks Prime is not dead but is lost somewhere—(spinfoil): perhaps in a Vex conflux!—and will return to reunite its House again in Destiny 2—or Destiny 3, since we already have an overabundance of unfulfilled plot points.
Just my two Strange Coins.