And note that even "uprezzed" 2K to 4K titles don't use some fire-and-forget algorithim like bicubic. There is a lot of shot- and scene-based tweaking of parameters to get best results. For major titles from major studios, it's more like a lightweight remastering. And if it was a DCI-P3 master getting converted to HDR, it really IS a remaster. What you'd get scaling back down to 1080p isn't going to be the same as the original 2K master (which was 2048x, not 1920x; ~14% more source pixels).
Note a cinema "4K" projector is 4096x, not the home video/broadcast 3840x.
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Ben Waggoner
Principal Video Specialist, Amazon Prime Video
My Compression Book
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