What if it was encrypted interesting data? What if you find the key later, but you only remember the original data as "white noise", you'd kick yourself.
Basically, calling it "white noise" is lossy compression, which may not be a good idea.
You are changing the setup. It was specifically described as white noise, with no embedded information implied. Otherwise it would not be "totally boring", you could play with decompressors and decryptors to try to figure out the hidden content.
.