This sounds like when Jeff Atwood started that fad that if you didn't have three external monitors (yes, three) then your setup was suboptimal and you should be ashamed of yourself.
No. Just no. The best developers I've known wrote code with tiny laptops with poor 1366x768 displays. They didn't think it was an impediment. Now I'm typing this on one of these displays, and it's terrible and I hate it (I usually use an external 1080p monitor), but it's also no big deal.
A 1080p monitor is enough for me. I don't need a 4K monitor. I like how it renders the font. We can argue all day about clear font rendering techniques and whatnot, but if it looks good enough for me and many others, why bother?