Earlier quoted context omitted.
> If security is important, the answer to that is no It's a little more nuanced than that. Compression may cause information leaks or it can prevent them depending on the circumstances. If you're encrypting an audio stream, then compressing it first can cause leaks. If you're encrypting a document, then compressing it first may prevent leaks.
Could you elaborate what kind of scenario would work on a audio stream but not on a document? In order to use CRIME, the attacker would need to repeatably injected content before the compression stage in order to test if it matches some part of the source. Audio is kind of heavy uncompressed and aren't normally streamed as such.
If you compress a document that simply obscures the size of the original document.