I suppose the cryogenics theory would make a more believable explanation as to what happened in Vault 111 after the bombs drop. Though what if the PC is indeed an android with false memories implanted? Having to circle back later to Vault 111 to uncover some hidden plot twist about other vault residents who are incomplete or non functional androids?
Given the wiki Fallout lore on Androids, even the BoS was as different as night and day in Fallout 3 versus how we saw them in New Vegas. So it's quite possible, Androids could no longer be viewed as slaves in Fallout 4 since it takes place some time after Fallout 3, in a different city. Plus the fact that you can see what appears to be the Vault Tech salesman from post war, walking around in a Fallout 4 settlement, during post war. Obviously everything is pure speculation, though the android theory could also explain the robotic voice acting from Delaney after the bombs drop.
In any event, I definitely don't believe PC is truly the soul survivor of Vault 111. The Lone Wanderer was never really the Lone Wanderer since his / her father was basically doing the same thing. The Courier was not the only Courier roaming in the Mojave Wasteland.