If the clog profile really affect the details, then thats why canon holding up so long and not easy giving it to any of thier camera including the 5d4 and 1dx2? 
Log is included in Canon's cinema line of cameras. The 1D X Mark II is very similar to the 1D C but the 1D X is for still photographers while the 1D C is part of the cinema line. The 1D C has a log picture style built in but the 1D X Mark II does not. Note that the log settings in professional cinema cameras are built into the firmware so you can't just copy Canon Log from a 1D C and install it on your camera.

I don't want to get into a long discussion about a camera that isn't supported by Magic Lantern but something interesting that I found in the manual is this showing the default settings for Canon Log on the 1D C.

Note that Saturation is set to 0, not the -2 recommended by Technicolor for CineStyle and used on several of the popular flat picture styles. I set the Saturation to -2 on the latest releases because I keep forgetting to switch it from 0 when installing CineStyle. Maybe we shouldn't be using -2? I'd like to see some comments on Saturation settings.
Danne and I are pleased with how well our picture style matches CineStyle. It isn't a perfect match but it is very close. Here is a shot of logNeutral with the DaVinci Technicolor CineStyle lut:

You can also create custom luts in Resolve. If you have a one of the standard color charts it can automagically create a fairly accurate lut.

Here is an interesting article on how to create a viewing lut for your on set monitor using this feature in Resolve:
http://www.matchstixstudios.com/blog/2015/12/10/how-to-create-your-own-custom-luts-in-under-5-minutesThe problem is that CineStyle isn't one of the "Source Gamma" settings so I just used "Auto." I applied it to images shot at Saturation 0 and -2 and it brought the colors closer together, though there is still a slight difference that is easily visible on the video scopes.
Of course all this is rather technical and the goal of shooting in log is to allow you more room to manipulate the image creatively in post.
We're using CineStyle as our gold standard for these picture styles because, hey it was developed by Technicolor, it supported by DaVinci Resolve,
Cinelog-C and there are lots of luts for it that can be freely shared. At one point Technicolor had big plans for CineStyle including a special software for it like
Color Assist but all this has since been abandoned. Yet CineStyle is still in wide use.
I'm sure a lot of work went into the new
Canon DSLR C-Log as well as the flat picture styles like
Marvel,
Flatt,
VisionColor and even
Prolost Flat. Use whatever works best for you.