Okay, I’ll try and answer all the questions.
I render from premiere pro, the files I’m using are Pro-res 4:2:2 files from my Atomos Ninja Star (although for other projects I may use .H264 straight from the camera).
I try not to use auto white balance, though for this project I did use it. How would using an intermediate codec change the colour? I thought that was just to speed up workflow, and wasn’t as necessary with modern NLEs?
I already grade the footage in speedgrade, which applies a lumetri look to each clip, but I have no idea what you mean by replacing with a full format.
I will check the settings in my players for sure. I profile my monitor using Spyder4Pro. I have no idea how to ensure I’m grading with the SRGB color set, for now I’ve just been using default settings on speedgrade and premiere pro as I have no idea what to do in terms of colour space within those programs.
When you say “perceptually similar”, does that mean I’ll never have perfect reproduction across media players? Is the video being ever so slightly different between premiere pro and VLC normal? Is there a media player that does not do this?