They do that for digital camera displays and it’s super confusing.
A number of megapixels and an aspect ratio would give all the information you need, while boiling it down to easily comparable numbers.
1.05 megapixels vs 2.07 megapixels is a much more obvious comparison to most consumers than 1366x768 vs 1920x1080. One has twice as many pixels as the other.
Switching to that system could even make a few more people realize that a small number of pixels with a huge screen size isn't a great idea. IMO most consumers just see "1366x768" and think "Oh those are big numbers it must be fine."
Example: the Olympus E-M10 has a 1,037,000 dots display, which means 345,600 pixels, which means 720x480. But all the marketing material (and review websites) reports “1 million dots display”.