During e3 they made no mention of cryogenics. They said you are the "sole" survivor. They also never mentioned of them being unfrozen at specific times.
The only clue they said during e3 was "your appearance alters the appearance of shaun"
So I guessed cryogenics, I guessed that Shaun was also a survivor. I even guessed shaun was unfrozen years before you do. Then I figured of course Shaun would tie into some major faction, doesn't matter if he is good, evil or neutral. He is going to be in a major faction.
For the "basic premise" with one clue that's a hell of a guess.
The people whom argued against me saying I am way off they instead guessed time travel were involved and the main character being a robot.
They even said "Excuse me, Bethesda specifically said you are the 'sole' survivor in Vault 111 which means shaun can't be alive."