The distinction I've seen with 1080p is calling it True or Full HD.
a) Number of pixels in scientific notation
b) Alternatively log base 10 of number of pixels
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”.
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."
More detail at http://en.wikipedia.org/wiki/4K_resolution
I'm more worried that there's going to be a 4K/"full 4K" thing because of the aspect ratios!
But mainly I'm just pumped to have a 4K monitor. As soon as they're as good as the mid-range Dell Ultrasharps in terms of color and options I'll be making the switch.
With this step hopefully killing off interlacing, I support any even somewhat dishonest marketing exercise to be justified.
4k makes it sound like it has 4 times the vertical resolution of 1080p, but for pure marketing reasons, suddenly instead of the 4k referring to vertical resolution as 1080 did, it refers to horizontal resolution, so is really only twice the horizontal resolution of the 1920 that 1080p had. Overall that's 4 times the pixels because of squaring, but still!