steganography detection hazard?

Suppose you take your plaintext, encrypt it, then spread the bits across an image as the LSBs. The LSBs will, if you've used a decent cipher, have perfectly uniform distribution. The 'noise' LSBs in a chunk of *digitized* bits will show a *uniform* distribution. (As indeed will the cipher's blocks, or any bitchunk larger or smaller.) Therefore an entropy test (see Maurer) will discriminate between the two. Please prove me wrong. --Stegosaur