I capture images in each of the venues of your interest with both the D4 and D800E, most times with both on the shoulder. Unquestionably the D4 is my go to (1st choice or has the most visualized lens of choice on it for the situation)for everything except landscape. I don't heistate using the D800E in everthing except fast action sports or BIF simply due to continuous shutter rates (4 v 10 frames per second). If I only grab one camera for out of studio work, it is the D4.
I do print large (24x36, but mostly 20x24) and have not had any difficulty of "loose in camera framing" (a habit in my studio and enviornmental family portraiture business)with either D4 or D800 when especially large pp crops for those distance subjects ... image quality holds up with careful pp.