so odin in short as far as either of these curves go they arent purely sensitivity multipliers like people have said in the past? they affect more then that technically correct?
Yes exactly, while its true that the curve itself is just a simple sensitivity multiplier the actual effect of the curve comes from the drastic scaling of the curve.
Lets say you have a 100 meter rope made out of rubber. You now cut the rope after 1 meter and stretch it over the entire 100 meter again. While its technically still a 100 meter rope the insane upscaling (bending) certainly results in a totally different rope behavior.
Matutaiki basically did the same, the insance upscaling results in larger mouse speed deltas that result in the same ingame sensitivity. Similar to how Obsivs quantization curve works. This mouse behavior is much much closer to how a controller operates and therefore results in a significant aim assist optimization.
Maybe this example is better to comprehend the efftect:
Without the Matutaiki curve: You move your mouse to the side on the mousepad. You start with 0 movement and progressively increase your mouse speed with each centimeter. Lets say each centimeter you increase your speed by 1 cm per second. Your crosshair will then also change its speed with each cm you pass on the mousepad.
With the Matutaiki curve: Since the deltas get larger you will not see a crosshair movement increase after every passed centimeter. Instead the crosshair will only change its speed after lets say every 3rd centimeter. So 0-3cm results in 1,5 cm per second crosshair speed ingame, the following 3-6cm on the mousepad result in 4,5 cm per second crosshair speed, ...
Since humans cannot move a mouse at a perfect speed to the side (the speed will always change slightly) the Matutaiki curve helps you to achieve a constant mouse speed. Constant speeds are exactly how a controller works, if you peg the stick to the side you have a perfectly constant turnspeed into that direction with no sensitivity change unless you slightly move the stick.
And the closer your mouse movements get to those of a controller the better the aim assist will be.