Edit to add: I would also add that framerate doesn't drop linearly with resolution, believe it or not. Just because you're on triplescreen does not mean you get 33% of the fps, more like 40-60% depending on the game.
You are not wrong about non linear, also I didn't say resolution and framerate scale that way. But I see how my words could be misconstrued. The problem really isn't you or I, the problem is that review sites don't actually inform their readers. Is this a sinister corporate practice or is this because people simply want quick and dirty purchasing advice? - I couldn't say. What is certain, that we get pseudo meaningful bar charts, the likes of this:
Actually I had to search for that one and it's from a private blog. Review sites give you 3 to 4 comparable bars at most, and always (16:10) because those resolutions are never multiples of one another. The circus around aspect ratios is a separate topic though.
To see how resolution and framerate are related, the number of pixels has to be calculated to make a proper graph.
It's immediately apparent that (1) one data point is a bit off (2) the graph is more linear and monotonous than the bar diagram above, once we put actual values on an actual x-axis.
Generally when one variable increases and the other one falls, the relationship that comes to mind is "inversely proportional" (1/x). And the bar wouldn't be a line, but a butterfly-shaped hyperbola. I assume, that's what we are seeing: the almost straight part furthest to the right that asymptotically approaches zero as megapixels are increasing.
The funny thing is that a hyperbola would suggest that lowering the resolution increases the framerate more than just linearly, because it curves upwards going from right to left! Thus lowering resolution will give give one a more than linear increase in FPS.
With at a resolution of 2x2 the frame rate probably could be extremely high.
In practice the memory buffer becomes extremely large and memory bandwidth becomes a bottleneck especially if any kind of super sampling like MSAA is used. Maybe there is some clever technology to save compute by cutting visual quality, but all I see is diminishing returns and never a frame rate high enough.