If the big concern is greater vertical resolution, then take a 4:3 screen and turn it 90 degrees, for a 3:4 screen - which beats 4:3, 5:4, and 4:5!
At least then, you can turn it back to 4:3 if you need to use standard resolutions. Say, to watch TV.
You do realize that 5:4 wastes more screen...