Gradient to *.exr Look Up Table - but the result looks different.

Unity Engine
1

Hi since It is not possible to expose property of type Gradient in my shader I decided to bake my hdr Gradient onto 1 dimensional *.exr texture.
Unfortunately my LUT kind of looks different than Gradient when used in shader , like it lost it’s hdr values. (no bloom etc.)

I export gradient like this :

Texture2D outputTex = new Texture2D(width, height, TextureFormat.RGBAFloat, false);
              
for (int i = 0; i < width; i++) {
       outputTex.SetPixel(i, 0, gradient.Evaluate((float)i / (float)(imageSize - 1)));
 }
              
outputTex.Apply(false);

_bytes = outputTex.EncodeToEXR();
System.IO.File.WriteAllBytes(_fullPathNoExtension + "." + extension, _bytes);

I retrieve values of texture in shader using Sample Texture 2D node.

2

SetPixel can only use for color which is 8bits each channel.
Maybe you can use SetPixelData instead?