On paper, the Xperia 1 III has an excellent display. In practice, the 4K, 120 Hz and OLED display does not get that bright. DxOMark has knocked the device down a peg or two with complaints about strong green tints, too. Accordingly, the camera specialists do not rate the Xperia 1 III's display highly.
https://www.notebookcheck.net/Sony-Xperia-1-III-falls-short-of-its-competitors-in-DxOMark-s-display-test.576152.0.html