(1) Many computers, TVs, tablets, smartphones, and laptops now have screens with greater than 1080p resolution ("Quad HD" 2560x1440 is particularly common), so I don't thinks it true that most will only ever display pictures on a 1080p screen, heck, many of them will be taking pictures on devices with greater than a 1080p screen.
(2) Often pictures, after being taken, will be cropped; so the image that will be viewed on a screen (of whatever size) will be some subset of the full picture taken.