Any 4K monitor 26" or greater is the same dpi as FHD at 13"
Various examples here https://www.newegg.com/p/pl?d=4k+monitor
A 24" 4K monitor is only 8% better in fact. I would venture to guess it would be basically indistinguishable to the naked eye.
QHD at 13" is 226 ppi is that really a reasonable minimum?