Now, presuming that I just took out the old hag to eliminate the DB, then all these chubby little brats adoring "assassins" are a massive problem for the future. Give them a few years to turn from ugly zombielike 10 year old brats into semi-decent looking advlts, and they'll be off to re-form the DB.
If you help them out the way that they are, they will continue to thrive, although not following the 5 tenants they were founded under.
If you kill Astrid and the rest of the DB members in the Falkreath sanctuary, Cicero and Babette still survive, so it's very possible that they could reform the DB. I like this option better because Cicero is very strict about following the 5 tenants and only doing assassinations ordered by the Night Mother, not just any contract they can get. Perhaps the orphans will also help Cicero and Babette one day

I'm pretty sure that the DB will be back in future TES games, so it's very doubtful that the player choosing to "eliminate" them actually wipes them out completely.



