The Signal protocol is only responsible for encrypting and decrypting messages.
Yeah, Keychat uses Signal protocol to encrypt / decrypt message.
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Interesting, I just read about the double ratchet algorithm: 
Does this mean that users could publish their nsec and their old DMs would not be accessible?
Signal Messenger
Signal Messenger: Speak Freely
Say "hello" to a different messaging experience. An unexpected focus on privacy, combined with all of the features you expect.