Zed “supports” 1080p monitors just fine. Supports is in quotes because it doesn’t need to do anything nor care at all about the count of pixels on the screen.
Keep in mind that Zed developers [2] consider blurry fonts on low DPI displays a Priority 1 issue, and a reproducible bug that is commonly encountered.
I'm sure if there was no blurry font issue with Zed, they would just close this bug report.