Not remotely the same idea, but the Magic Puzzle Company [1] makes fantastic puzzles with "two solutions." They're traditional puzzles with hand-drawn art, but the first solution is in four distinct pieces that can be reassembled to make a slightly larger rectangle with a hole in the middle. (Similar to Sam Loyd's Missing Square puzzle. [2])

Then, a second set of pieces (in a separate envelope) allow you to fill in the hole with an image that (typically) wildly alters the interpretation of the original image.

[1] https://magicpuzzlecompany.com/ [2] https://proofwiki.org/wiki/Sam_Loyd%27s_Missing_Square