The process you have described should yield identical pixel data but the metadata (such as a timestamp) might be different.
The TIFF Specification defines how metadata and image data is arranged within TIFF files.
If you want to do a hex comparison then I suggest you convert both the TIFF files to a much simpler format (eg. PPM or Photoshop Raw) and compare those instead. That way, you're comparing the pixel data and not the pixel data + metadata.