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What you request may be possible yet using a gradient map by itself to color mapping has built in issues.

The gradient map will take a specific gray tone in the image (calculated gray tone from the RGB numbers) and convert it to a specific RGB alternative.

The major issue of that is that many colors can map to the same gray tone and a gradient map would turn all of those different colors to a single output color.

So using the gradient map for this purpose is more limited in capability that most might think.

Just my opinion of course.