I don't agree with the framing of it as "faking" a higher than native resolution. The native resolution is what it is. The problem lies in how the view is sampled as it is rendered to the screen. What you ideally do when you have higher frequency content than the screen can represent is to oversample, filter and downsample the view, as in SSAA, or you approximate the effect or use it selectively when there is high frequency content, using some more clever methods.
It's really the same problem as in synthesizing audio. 44.1 kHz is adequate for most audio purposes, but if you are generating sounds with content past the nyquist frequency it's going to alias and fold back in undesirable ways, causing distortion in the audible content. So you multisample, filter to remove the high frequency content and downsample in order to antialias (which would be roughly equivalent to SSAA) or you build the audio from band limited impulses or steps.