Thanks for the follow-up, Dan.
We do indeed agree for the most part once we get some semantics out of the way. When you were referring to the extremes, I mistakenly thought you were referring to two tones -- the darkest tone and the brightest tone. I now realize that you're referring to the two ranges of extremes rather than only the extremes.
I'll take one of your comments even farther than you did...
If there are three ranges of luminosity in the image -- shadows, mid tones and highlights -- it's actually impossible to apply a traditional S-curve to increase the mid-tone contrast without decreasing the contrast in the shadows and highlights.
However, an important point needs clarifying...
The two histograms you displayed prove that the Lightroom contrast slider moves the black and white points. As you know, doing so inherently adjusts all other parts of the tone curve; it's impossible to adjust the black and white points without adjusting the rest of the tone curve. I suspect that the contrast slider makes additional adjustments to the mid-tone area of the tone curve as well, much as what would happen if a traditional S-curve had been applied. People less informed than you use such sliders not having any idea about what is really happening to the tone curve.The tonal range has been stretched out considerably. This was done with the LR contrast slider, but I would have obtained a very similar histogram by using the blacks and white sliders, which among other things change the black and white points. I would expect the image to show more contrast. And indeed it does