Webkit has a page with examples of wide-gamut images at https://webkit.org/blog-files/color-gamut/.
If you visit this page on a regular display driven by a color-managed OS' (iOS 9.3+, macOS), many of the images look different between sRGB and the alternate gamut image.
Why do they differ? To my eyes, they differ in the same way on a wide-gamut display (iMac 27" retina, iPad Pro) - the oranges and reds are boosted. So it seems having a wide-gamut display isn't adding much.
I would have guessed the wide-gamut images would be color-sync'd "down" to be indistinguishable from the sRGB version. So why is a difference very apparent?