The look starts with set design, lighting, camera/ lens/filter choice, costume and finally look development in post. They probably worked on creating a LUT for monitoring on set too. Without all departments working towards this look, you can only get so far with contrast, selective desaturation/ saturation and colour density.
I would be leaning into a DCTL that gave me good control over saturation, density and hue. I’m a fan of Mononodes but there are choices out there to give you better control than the slice tool.