Ignoring the AWP, as I think that is irrelevant, there are a few issues here.
Profile 2 has measurements that are outside of the CIE triangle.
That is impossible, as means the probe is having so real issues with measuring.
But the difference between the LUT generated with profile 2 vs 4 is as expected, as the measured gamut is different enough, especially as you have used very few measurement points.
(The difference in the LUTs is that one is clipping less that the other - the one that looks 'squarer' is clipping more!)
And yes, there will be a difference between Map Space and the concatenation approach as you have used a Quick Profile with Primary & Secondary patches.
As per the User Guides, that invokes a different colour engine, but that will be different for concatenation, which is Peak Chroma, vs Map Space.
So, the reality is you need a real volumetric profile for this display.
And stop the invalid measurements, which are specifically in the low-lights.
(When you have measurements outside the CIE triangle that also likely means other measurements will be invalid.)
Steve
Steve Shaw
Mob Boss at Light Illusion