Below you will find a direct comparison using an LG OLED C8 with LightSpace's Stabilisation ON/OFF.
Some in-house tools of LightIllusion used to generate all the following graphs:
C8 Stabilisation OFF
C8 Stabilisation ON
Each profile has been 'mapped' to itself, using the peak gamut, white point, and gamma values from each profile.
Profiling a display to itself (to its own native Gamut/Gamma) really does show the underlying quality of any display.
A 'good' display would generate a near perfect result.
To profile a display to itself, you need to create a new colorspace using the display's Primaries/White Point/Gamma and select that custom colorspace as ''Source'' (as target) when you will do the colorspace conversion.
You can take a Grayscale run (Calibration Interface -> Profile -> Grayscale only), then open the measurement file... looking the CIE chart... double click a cross to bring the Point Info Window...and note the xy of 100% R,G,B and 100% W, then generate a PDF report to see the average gamma...and using these number, create a new colorspace.
If you look at the normal CIE graphs above you can see the 'With Stabilisation' has a perceivable higher number of 'Orange' dE points, so in general terms the display when profiled with the black stabilise patches is better. But, there are still issues... (The Drift graph below backs this up.)
The 3D CIE graphs better show the difference, with the general level of error as shown with the dE vectors being visibly less in the 'Stabilised' graph.
The Cube graphs are normalised versions of the 3D CIE graphs, and assist in really seeing both the underlying issues, and the greater issues caused by the thermal instability of the display when Stabilisation is not used.
Note that the graphs without stabilisation show how the displays will respond in 'normal' use.
You can easily see the 'scallop' out of the cube on the left hand side on both with and without Stabilise graphs.
But on the 'no Stabilise' you can see a step change in the data along the bottom edge, and the more random alignment of the dE vectors, especially to the right of the step change.
(Drift plot range is +-3 nits to these graphs.)
The drift graphs verify the above, with the 'Stabilised' results showing the underlying instability of the display over time.
The graph without Stabilisation basically show how the displays will respond in 'normal' use.