To strip EXIF data without losing color profile information, I use

magick input.jpg profile.icm
magick input.jpg -strip -profile profile.icm output.jpg

It works for JPEG, but doesn’t seem to work for PNG.

magick input.png profile.icm
magick input.png -strip -profile profile.icm output.png

Whereas input.png has Color LCD color profile, output.png doesn’t have any color profile information. Why?

PNG images and the profile.icm file that was extracted by the first command are here: https://github.com/jsx97/test/blob/main/exif.zip