A big reason why I like curved screens (or rather flexible display panels), and one that I have never seen mentioned anywhere, unfortunately, is reflectivity.
Look at the reflection of a light source on my Galaxy Tab S5e (flat display) and my old Galaxy S7 edge (curved display).

On flat OLED panels (with a glass substrate, I presume), reflections are greenish and spread over a large area of the display, whereas on curved OLED panels (with a plastic substrate), reflections are much darker, much more localised, and there's no greenish hue to them.
That's a game changer when you're in direct sunlight or right under a light source.
This is a pattern that's I've seen with every OLED phone that I've handled, but there might be exceptions that I don't know of.