I have tested to do this with GIMP, at it seems to manage to apply just a general colour profile without changing the image (pixel perfect).
However when I run convert -strip with imagemagick and then compare the result to the original it is clearly different.
These are rather basic images, one example is this:

(Image itself is Copyright "appleflap" CC-BY-SA)
Am I doing things wrong?
Is there any way to do this with imagemagick and better retain the original image?
- arand