Sort of, except that I'd amend "information" to "useful information", because, mathematically speaking, rudeness does represent information (in that it takes up bytes on the network). But when an ideally Crockered (if that's a word) reader encounters rudeness, he ignores it, thus reducing its informational content to zero.

For example, when one reads something like, "only a total moron like yourself would commit the obvious ad hoc fallacy in line 5 of your argument, and also, you smell", he interprets it as "...ad hoc fallacy in line 5...", and is able to respond accordingly (or update his beliefs, as needed).