Curious what LUTs you're using. Having a heck of a time finding a decent 'look' LUT for coastal scenes (after going through the tone map LOG to 709, exposure adj, color curve tweak to fine tune highs/mids then white balancing and finally a LUT tweak for 'look'). I found a decent tone map log to 709 for the
2S but not much luck in finding
2S camera specific LUTS. I've got lots of Lightroom editing time shooting stills in RAW and trying to get the hang of processing D-LOG for same reason I shoot stills in RAW. Appreciate the help; great explanation BTW of the 5.4k conundrum.
You've just described why I don't bother with LUTs! A LUT is just someone's idea of a starting point, or compromise. It's not a calibrated correction (like most people think), though someone could actually do that. It's a packaged opinion of how the correction to REC709 should be done, and generally doesn't work for every shot anyway, as you found out. You can tweak everything yourself without a LUT and save it as a preset correction. The advantage you'll have is, your tweaks will make sense for your lighting, exposure, day...etc., and can be applied just as easily to an entire batch of shots. Then go tweak them individually anyway. Your Lightroom experirence with RAW is great practice.
However.. And this is the biggie...I work with calibrated monitors, and I cannot over-emphasize how important that is. I bought a iOne Studio calibrator (kind of entry level, but it does a decent job), and run it on everything periodically to get it all to not only match, but the create separate profiles for REC709 work, web photo work, and print. They aren't the same, and you do have to switch between them depending on your work flow. If your goal is to make a shot, still or video, work on a wide range of displays, including those outside of your control, your only choice is to make sure you're starting with your own monitor calibrated before you start making critical adjustments, and that the calibration target matches your end useage.
If my work and color tweaks mattered more and vital to paying the bills, I would own a higher-end colorimeter. But, like everything else, this follows the Pareto 80/20 Principle: you get 80% of the value with 20% of the investment. So, do the 20% at least.
And, by the same principle, a bit of what I shoot doesn't get shot with D-LOG! Just as some stills I shoot with the DSLR get done as .jpg only. Because, if you nail the exposure the first time, the standard color is the 80% I need, and often I just need that and fast. The actual skill here is knowing when close-enough is good-enough, and when it's not. This applies to just dropping a quickie LUT on a clip too, it might not be "right" but it might be "good-enough". Knowing when not to spend time tweaking is also a skill. Time is saved, not only by avoiding obsessive tweaking, but also by not having to render absolutely everything in the timeline.