Perhaps. Back in the 80's, folks on Usenet would add words like "nuclear", "bomb", "spy", "communist" to their email footers and posting signatures, in hopes of overloading the (suspected/expected) NSA monitoring of traffic. I'm going to guess that sophisticated filters dealt effectively with such things back then, and even more sophisticated filters would deal with your random encrypted bits too.

Curious anecdote, some underground Japanese P2P networks have files with contents filled with references to Tiananmen, Tibet and the Uyghurs etc. probably to attract attention from CCP to deter Chinese users from downloading them.