[hamdingers]

What you're saying is only true for lossless compression, if you're fine discarding data you can compress anything. Try it yourself:

    magick -size 512x512 xc:gray +noise Random noise.png
    magick noise.png -interlace Plane -quality 75 compressed_noise.jpg

Result is ~380k smaller and doesn't look much different at 100%.

[eru]

You are right, but that says more about human perception than about the input data.