Can't find any results for 13" displays. But there have already been several blind tests carried out for TV's that show people can make out the difference.

http://www.hdtvtest.co.uk/news/4k-1080p-201311153442.htm

https://carltonbale.com/does-4k-resolution-matter/comment-pa...

https://www.slashcam.com/news/single/4K-vs-8K--Who-can-tell-...