I learnt about it in Japan where proof-readers and editors would (or do) quickly lift a top page up and down to spot mistakes with kanji (pictographs). And sure enough, even from a page of dense script the dissonance of the error really does pop out at you.
I likewise tucked that little trick into my belt -- it comes in useful anytime you're trying to manually spot a pattern across complex data. This technique has the same "vibe" as FFTs to me: it's just neat feeling like you're getting computation from the universe for free.
Solar PV in a similar category: free electrons if you can arrange the magic rocks just right :)
Instant "spot the difference" solve.
// Long time in print and digital agency
e.g. https://old.reddit.com/r/woahdude/comments/1lxqd0l/the_most_...
I admit I don't do web stuff, so perhaps this is hard to do. But I think it's the ideal. Before/after comparisons are very easy to assess if you can flick between the two cases and let your eyes show you the differences. The value of having an image that's part one and part the other (and two completely separate parts!) seems a bit questionable.
(My line of work means I'm unlikely to end up a customer, so you don't have to pay attention to my opinions.)