We can do better, how about having marketing be based on
a) Number of pixels in scientific notation
b) Alternatively log base 10 of number of pixels
a) Number of pixels in scientific notation
b) Alternatively log base 10 of number of pixels
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”.