Just to play devil's advocate, Codsworth did say that the Lone Survivor was 200 years late for dinner.
And I would expect a robot to use the exact number of years.
Course, that 200 year number in Codsworth's dialog might change before the actual release.
However if you are setting a fail safe wake up time on a cryo chamber, then 200 years after the subjects enter the cryo chamber is a nice round number I would expect someone to put in.
If I wanted to test the cryo process for space travel, seeing how many survived the process after 200 years would make sense.
And you would want to see if the test subjects were impaired in any way by the cryo process.
No use sending a group of colonist to another world if the majority arrive as drooling idiots.
Which suggests that there may be some kind of maze/stress test to evaluate the awaken Vault 111 survivors before they can leave the vault.
What little we saw of the Lone Survivor as he left the vault didn't look particularly hunted but rather numb (as if he had just gone through a Nuclear War and had lost/ been separated from his wife and child).
But given the Enclave/Vault Tec's track record, I can image some horrific scenarios being possible.