SMH, not even the classics are safe from lootboxes... That said, this was rather soothing and interesting. As a side-effect of some of my mechanics, I was acutely aware of textures getting stretched, but making that the core mechanic was clever.
One critique, after a few dozen or so boxes, I noticed that the pieces cap out in their "correct" ratio, so one can simply drag diagonally for every image. Now, that's not fun but it is possible, so if you ever want to update or tweak this, maybe make it so everything caps out as a unit square? requiring the player to actually figure out the original's scale the intended way.