Comment by ricket

So the server always sends the same plaintext (the private key of the bitcoin wallet), encrypted presumably by the same cipher but each time with a different symmetric key of course (negotiated by the handshake). It seems (naively, I'm sure) like this is a weakness, like you could collect a bunch of the encrypted samples, and then use the fact that they are all from the same plaintext in order to figure out what the plaintext is. How many samples would it take before you could deduce the key?