As long as we ignore that she'll be eaten if they have no more use for her, then yes
I don't know if that will ever happen. Yes, in any "normal" (and I use that term lightly) situation they might eat her once she no longer serves a purpose. However, 1) this isn't a normal situation, and more importantly 2) her purpose is to act as a hub for the hive. She is the mind of the hive. If she is gone the hive is unable to function. Unless she has children who can inherit her role when she dies, then her death is the death of the entire swarm. A simple disconnect for a short period is fine because they can likely sense where she is and that she is still alive (hence why they knew where to find her under the rubble), but she is the hive's purpose, and if that purpose dies then they are nothing.