I don't know if these are presets or something done in post-processing, but it almost looks like the video equivalent of filter plugins in some cases.
I'm by no means an expert but color grading video is often a detailed process with a lot of room for finding your own creative "vision". Think of the split toned, green/orange aesthetic that was popular in movies for a while. Doing the color grading can have a major effect (good, bad, or just different) on the mood of a video.
In these examples, I was definitely impressed with some aspects of how curves were adjusted to bring up shadows and make details more visible. But at the extreme end, it reminded me almost of the overkill seen in early HDR photography.
Some tweaking can make things look more realistic and bring out detail but it is very easy to go too far and end up with something that looks like an Instagram filter.
That's mainly why I was wondering if the video examples were in-cam presets when running Magic Lantern, or if it was something the videographer did in post with the extra data captured with the higher bit depth enabled.
It should be theoretically possible to do anything to each video frame that you can do to a still photo, including moderate/tasteful color & contrast adjustments.
Some photo printers love to allocate almost all of their available contrast to large-scale shapes, producing essentially silhouettes. Others like to allocate almost all contrast to local fine detail, leaving the image looking like a gray blur from afar but detailed and crisply textured from close up. Some photographers like their images to be a festival of competing intense colors, while others make nearly monochromatic images in one color or another, or stick to a pastel palette, or make mostly neutral images with a few intense exceptions. Etc.
When someone says a photo or video was printed badly, what they usually mean is that either (a) the printer had shallow aesthetic judgment or boring artistic goals, and/or (b) the printer lacked the skill to effect their artistic vision.