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Typical today raw converter

Typical today raw converter (e.g. Adobe's and/or in-camera JPEG generator, I'm not familiar with rawtherapee) applies S-shaped curve (with different parameters for different cameras/different ISO setting on same camera/different other setting e.g. DLO on Nikon cameras).
LibRaw/dcraw default rendering does histogram shift to the right only.

Here is your sample with +1 correction with highlights compression:

-- Alex Tutubalin @LibRaw LLC