If you can call the left image [1] "supporting 1080p" I guess Zed supports it. But it looks like VS Code and other editors somehow support it better without getting blurry.
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.
[1]: https://ibb.co/zVS0Qz6z
[2]: https://github.com/zed-industries/zed/issues/7992