You might say it's indistinguishable in a theoretical sense, but how are you planning on accessing this random sequence of characters?

Using software?

Why are you in possession of random data on a hard drive? A prosecutor will be happy to spin theories about what it might be.

How do you hide the possession of software you use to acess it? If you manage that, how do you hide the forensic evidence of "file access in random data consistent with evidence of hidden data or a hidden filesystem", in your OS or on your storage device?

I very much want to live in a world where these tools are legal. Otherwise, in the same sense as "lying to the FBI", they will be used as a weapon by law enforcement when none other is handy.