Wait, are you sure you don't have that backward? IIUC, you don't[] notice the difference between a 2K display and a 4K display until you get up to larger screen sizes (say 60+ inches give or take a dozen inches; I don't have exact numbers :) ) and with those the optimal viewing range is like 4-8 feet away (depending on the screen size).
Either that or am I missing something...
[]Generally, anyway. A 4K resolution should definitely be visible at 1-2 feet away as noticeably crisper, but only slightly.