Of everyone's? No. But enough to store the signal messages of the President, down a couple of levels? I hope so. After I'm dead, I hope the messages between the President, his cabinet, and their immediate contacts that weren't previously accessible get released to historians.
But is it big enough to store 50 years worth of encrypted transmissions?
Far cheaper to simply have spies infiltrate the ~3 companies that hold the keys to 98% of internet traffic.