Sorry to butt in.
Because of graphical style used with the game, it's indeed designed to be played with 720p (basically designed to be played on Xbox 360, because most puzzles are designed with that controller in mind, also see key points for that game) and that's why 1440p is second recommended resolution as pixel count is exactly doubled then. However that comparison picture doesn't tell everything unless someone opens it in image manipulation program, because for example fez hat character is wearing, actually has 5x5 pixels area while everything is mostly 4x4, you can see many areas in screenshots where zoom is handled like that and it almost has to be because of games graphical style. Because we are talking about that minor difference, there's almost zero effect on gameplay and of course it's better to play with monitors native resolution, because down/upscale would ruin the games visuals far more.
So when changing that note, I would personally put comparison as reference, but it would also help if those screens were ~identical and much more zoomed in to see the difference. I've included screens under spoiler. (PS Also pixel count on 720p is actually 3x3 and with 1440p it's 6x6 so that original comparison ain't accurate at all)
Spoilers about the game included about game ending.
Where it shows best it's actually not an upscale is indeed first person view which is unlocked as without any AA applied it's super clear it's not upscaled from lower resolution. Also moving objects around regular 2D enviroment.
Question: as game does have first person view and stereoscopic anaglypth options available as unlock. However should they be on article as they also count as spoilers to the game?