Encrypted data is information.

Encryption algorithms are math. Math can be expressed with data, but the immutable intangible reality that is being expressed is not information, nor property.

By your logic, the government can argue banning encrypted data, and encryption algorithm implementations.

The latter hits close to the mark of what A.G. Barr is insinuating. It would still be a significant for a government, especially the U.S. government, to ban the implementation of specific algorithms. That would equate to banning the writing of specific mathematical formulae, which is equivalent to censoring speech.