Huh (having scanned but not read in detail the post), interesting approach. I'm not that well-versed in this area (as a game developer, I tend to jump straight to nearest-neighbour), but hadn't come across this before. I love the pathological example of a checkerboard pattern - very pleasing worst-case scenario, where I suspect it would just be a grey blur. However, the developer doesn't show us the equivalent for the suggested filter - systemically showing side-by-side comparisons of different filters would be useful. I suspect the resulting artefacts would be randomly blurry lines, which could also stand out. But nice to see people thinking about these things...
Here's a related disucssion on what 'pixelated' should mean from the css working group
https://github.com/w3c/csswg-drafts/issues/5837
(every so often browsers break/rename how nearest-neighbouring filtering works. I hope at some point it stabilizes lol - I note in the discussion linked nobody else cares about backwards compatibility ...).