Sorry, but aren’t the profiles called preference and appearance?
The white papers for the two (https://www.color.org/ICC_White_Paper_26_Using_the_V4_sRGB_ICC_profile.pdf, https://www.color.org/whitepapers/ICC_White_Paper42_Using_the_sRGB_ICC_v4_appearance_profile_2014.pdf) are waaaay over my head. There is a short page about the two, where they say about the preference profile:
A typical use case would be to print sRGB images captured with a digital still camera. In this case a user could open the image in Adobe® Photoshop®, assign the sRGB v4 profile […] The user would then convert the data to printer specific values with the sRGB v4 profile as source, the v4 printer profile as destination, and selecting the perceptual rendering intent
About the appearance profile, this page says:
Produces more color-consistent results in color reproduction on display.