Sure, but isn't there more implied by what you just said? It's not just that you know the size, but if you know the header format, then you also know the type (which you might). But, I'm not sure how much more of less information compression provides for non-trivial size files. Where individual packets are encrypted, you have quite a bit of information. Where you have one file of non trivial size, there is much less information exposed.
For example, you know its type, and it's 150KB. Even if you know it's a text document, or a WAV file, or bitmap, I think you get far less information from the compressed version than from the non-compressed version. The non-compressed version of the text document may give you approximate word count, and the WAV file will give you some probable lengths of the recording at common sampling rates, and the bitmap will give you some probable dimensions. Compressed versions hide this information within the natural variance of the compression.
The problem seems less to do with compression, and more to do with splitting larger data (or streams of data) into smaller chunks to encrypt, which in itself loses some of the benefits of hiding information in the variance of the data presented. Compression seems to exacerbate this situation by amplifying variances in very small data sets in a way that yields additional information, but it seems to me that's just a natural progression of encrypting very small amounts of data being not nearly as effective as large amounts of data.
At least, that's what I can intuit about the situation. It may be partly (or totally) wrong given some more advanced security theory (I am not a security professional).
For example, you know its type, and it's 150KB. Even if you know it's a text document, or a WAV file, or bitmap, I think you get far less information from the compressed version than from the non-compressed version. The non-compressed version of the text document may give you approximate word count, and the WAV file will give you some probable lengths of the recording at common sampling rates, and the bitmap will give you some probable dimensions. Compressed versions hide this information within the natural variance of the compression.
The problem seems less to do with compression, and more to do with splitting larger data (or streams of data) into smaller chunks to encrypt, which in itself loses some of the benefits of hiding information in the variance of the data presented. Compression seems to exacerbate this situation by amplifying variances in very small data sets in a way that yields additional information, but it seems to me that's just a natural progression of encrypting very small amounts of data being not nearly as effective as large amounts of data.
At least, that's what I can intuit about the situation. It may be partly (or totally) wrong given some more advanced security theory (I am not a security professional).