Yeah, I grabbed the same video sample and it seems your screenshots were taken at the full range (unclipped). I opened it up in MPC-HC and it clipped the bushes in the shadows completely, but it looks "as intended" when loaded into AVISynth and converted to RGB with the proper matrix. Anyway, the contrast looks like what I'd expect from one of the default picture styles though; there's nothing out of the ordinary with how it looks. If the photographer took a RAW still shot and loaded it into Canon's bundled software (Digital Photo Professional) working in the sRGB space, it'll look very close to that, minus the obvious resolution and quality difference.
It does look rather mushy though, since there's a ton of high frequency detail, high motion and deep DoF at a (relatively) low bitrate, and at 30 fps to boot. If other cameras can handle those conditions with higher AVC profiles/features, then that would be pretty impressive. I'm not sure if CABAC (a 10-15% quality improvement) would make or break the quality in this case though.
It does look rather mushy though, since there's a ton of high frequency detail, high motion and deep DoF at a (relatively) low bitrate, and at 30 fps to boot. If other cameras can handle those conditions with higher AVC profiles/features, then that would be pretty impressive. I'm not sure if CABAC (a 10-15% quality improvement) would make or break the quality in this case though.