I think you may be confusing jpeg file compression with "tone-mapping" "compression" if you're insisting both systems have "one algorithm". My posts were about 14bpc to 8bpc: there's not just one algorithm involved.
To convert raw data into JPG data, there are multiple different software packages you can use. These libraries are used by both the firmware and DPP, thus the same algorithm is used by both the camera and DPP. It is very quite simple if you understand how software is written, how reusable libraries are created and shared and linked in, etc.
I only brought up JPG compression because the camera has a set compression level it uses for large fine JPG, and I had a different compression level in DPP when I converted, and thus caused a smaller file with less quality, thus wiping out some of the noise that I saw out of camera. That is what caused the 2 JPG files to be different. Nothing more, nothing less. I have no idea where you make these strange mental leaps. We are done, I will have to put us in time out now, sorry about that. 
I have moved away from JPG at this point to compare files anyways, I am now looking at the raw content directly, to make comparisons. Sorry I brought up what I was doing to make the comparisons, it started an entirely new chain of thought with somebody. I am trying to "see" the floor noise when I take a very fast black frame. I will just try to adjust exposure in the raw, along with curves to bring out that noise floor.



