This is what I mean by the Point sanity check:
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~/ImageMagick/bin/magick footbridge.tif -filter Point -resize 2000x2000 -profile sRGB_v4_ICC_preference_displayclass.icc icc.tif
and
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~/ImageMagick/bin/magick footbridge.tif -filter Point -resize 2000x2000 plain.tif
should give almost the same images, because the only significant difference is going out and into sRGB v4 (in this test, the profile is embedded in footbridge.tif).
They
do (I had incorrect comparison code earlier. Tired, so I make mistakes.) They give exactly the same images.
Now, if I replace Point by Lanczos, they still give exactly the same images. And they should not. Same if I don't embed the profile in the input file and use
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~/ImageMagick/bin/magick -verbose footbridge.tif -profile sRGB_v4_ICC_preference_displayclass.icc -filter Lanczos -resize 2000x2000 -profile sRGB_v4_ICC_preference_displayclass.icc icc.tif