It might not look like they are following the "rules", but I think they are usually. In fact, I'd say that are all great at checking off the five requirements quickly and emphatically.
Lynch is clearly familiar with the great philosopher Burl Ives: https://www.youtube.com/watch?v=tzV-8TofHTw
I like the screen position. That's one thing I don't like about the Canon c100ii, which is otherwise a pretty great camera. To use it on the shoulder I need an additional monitor, otherwise I need to have the camera way out front or awkwardly crane my neck to look into the viewfinder.
Very cool project. I like bikes and filmmaking so I have a soft spot for biking films. I watched a couple of the bts videos and they are interesting on their own. I look forward to watching the main film.
My humble 2 cents would be that the C100ii is probably the most sensible purchase right now if you want a super35 sensor in a well-rounded package. It's true that it doesn't have raw, ProRes or 4k sexiness, but it does a lot of things well. It's easy to shoot with, the media is relatively cheap, files are easy to work with, image is good, has xlr inputs, the list goes on. The FS7 is a step up, but really ends up becoming a lot more expensive when you add up the costs for media and storage. There are a lot of great cameras, but it's definitely not crazy to get a C100ii.
Given your (the OP's) working method, I would not have shot raw. (I've shot with the Black Magic Pocket Cinema camera in raw and ProRes.)