If you used a color slide your B&W lith print would be a negative. Is that what you want?
This is an example of what is commonly referred to as a "Lith Print." Are we discussing the same thing?
We are discussing possibility to get color lith print. Such as your example, but in color. If you will read the topic again, you'll see the three methods which I advised to try. All of them are reversal and should produce the color positive image. To produce lith print we have to use b/w hydroquinone developer, so if we need the positive color image afterwards we had to use the reversal process. If we had to use reversal process, we need to use slide instead of negative.
Besides, several days ago I got a pack of R-3 paper, perhaps about 1995, but it will produced dense purple fog (as any expired color material) and had been eaten by bacteria so it's totally useless. I tried to get rid of fog by benzotriazole, potassium iodide and developer termperature ~10 C, but it gave nothing and after another portion developing just stopped.
Astronomers used looping to increase colour depth. you process in a C41 developer and fix No bleach/Blix, then bleach in a rehalogenating bleach and after a wash and brief re-exposure go back through the C41 process,
Rehalogenation will give a pushed result, not a lith print. If pushing will give lith result, everybody would use push processing instead of difficult and slow infection development.