Those are good questions .... wish I had precise answers
I will have to see if cropping a full frame image in post is equivalent to shooting in crop mode, I have not tried it yet.
I would say that the eye tracking is definitely better with a larger subject in the frame and absolutely the file size is smaller. The files are similar in size to a 17 mp camera. (ie the original 1Dx was 18 mp)
Composition is improved as the field of view is equivalent to a lens with 1.6 X the focal length of the lens you are using. Thus my 600mm lens will provide a field of view similar to a lens of 960mm.