My approach is the following (not weighing in on the "does adjusting the CMS introduce artefacting on the LG OLEDs" discussion.
First make sure the Color Bars setting in HCFR is set to the one that represents what you can change with your CMS sliders. There are two different sets of color bars you can switch in between in HCFR.
Have a CIE triangle Window up at the same time you are adjusting Colors.
First I try to get the Color Luminanace close. (It's not a bar, its a percentage value.)
Second I try to get the point on target with Tint - using the Color Triangle as a reference.
If the point already is "close to target" - its mostly a matter of looking at the dE value and moving that colors Tint to the left and right (- / +) by increments of 2 - until about + and - 5 and see if the dE "jumps" in any direction. If it does you can eliminate the direction it didn't jump at (+ or -) and fine adjust.
At this point, you also have to adjust Luminance again - because it will change in accordance.
After Tint is dialed in, move to saturation.
Adjust saturation, adjust tint, adjust luminance.
The overarching guidelines are as follows:
Tint will move dE by the largest amount - but do dial it in, Luminance should at least be in the ballpark.
Once you hit the right tint spot, you'll have to adjust luminance again.
Saturation still moves dE but does so in smaller increments - so we dial in that after tint is set.
Once we've adjusted Saturation, we have to dial in Luminance again - Tint at that point might have to be fine adjusted - but usually it remains "on spot".
Also understand that if you dial in tint (especially true for tint - but holds true for the oder sliders in a lesser amount) at a colors 75% level - it might become "more off" at the 100% saturation level and so on -
To get "best" values on paper (color checker dEs) calibrate Colors at 75% saturation (HCFR setting bt709 75%), then switch to 100% (normal bt.709) - do a prim/sec color measurement run, do a saturation measurement run - then look at the saturation dE Graph - identify where what prim/sec jumps dE the most - then navigate to the data panel of that saturation sweep - pick the two saturation levels you try to mitigate between (lets say 75% and 100%) and do spot measurements (camara icon), while switching between them and correcting in the CMS.
(As a guideline - I was able to bring down 75% saturation dE to 0.4 or lower across the board - but then the 100% dE' might not "agrree"..
That said - best values on paper not always correspond with best perceived results - so do several preset calibrations, and compare them over time..
Also - on the LG OLEDs - don't touch the global tint slider, imho. You'd get better skintones setting it to G4 for example (and THEN starting the CMS calibration) - but its always in sacrifice of another color sector (in that case afair cyan getting more off) - and skincolors arent that percetively wrong that you'd absolutely have to...
Even if you try to minimize Color Checker SG dEs (I have a few calibrations, where only two colors exceed dE3) - a calibration doesn't get "obviously better" - in fact you might not like the overall result.
If you want to experiment - try to reduce the "most correction needed according to measurments" colors corrections afterwards - while looking at images to see how the changes impact that color.
Make a habit of writing down your calibrations, although it is a hazzle because the TVs menu system is slow.
Always have a calibration preset at hand - where you didn't touch the CMS - and decide over time if you'd actually made an improvement.