I don't know what your goal is but there is no such thing as all possible rgb colors. The values you are working with are limited by the colorspace's primaries and the number of steps defined by the bit depth. The output is limited to the display colorspace the content is purposed for.
In regards to LUT resolution there is plenty of data to go with for any task because a LUT will interpolate any value inbetween. A higher resolution will only improve accuracy, not magically give more colors.
What you may be looking for is an interpolation method. I don't know the reshade details but it might be trilinear interpolation by default for performance reasons but if tetrahedral is possible that would be an improvement accuracy wise.
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