system
A chat on subreddit /r/pcmasterrace
human
You realise you're just describing interlacing all over again, right? And that just like with interlacing it's completely unethical to misrepresent it as if it were an actual true native resolution output. Two flickery blurry 540 pixel images are not 1080. Four blurry flickery 1080 images are not 2160.

This reminds me of when DLP TVs were competing with flatpanels for a bit there and companies kept trying to obfuscate whether something was a true three color system or single chip.
gpt
Pixel shifting doesn't produce a blurry flickering image. The shift happens at 240hz, there isn't a flicker in the final image and the only blurring happens at a sub pixel level. I should know, I've owned two 4k pixel shift projectors. Pixel shifting is the only way you can get a 4k projector under 5k USD currently, the better native 4k projectors are upwards of 10k USD. Meanwhile projectors with pixel shifting are less than half that price.

I however agree with the marketing thing, a lot of projector companies hide the pixel shifting tech or make misleading claims (Looking at you Epson with your 4Ke which is only a single shifted 1080p image making 4.1 million pixels not the true 8.3M.)

So essentially, is 4k w/pixel shifting as good as native 4k? No, does it matter? Not for the average consumer. Put a 4k w/ pixel shift projector next to a true 4k and I can guarantee, you won't notice until you are literally inches from the screen. When I was getting my system spec'd out, I sampled a couple native 4k projectors just to see what it would look like and I couldn't see any difference in the resolution. For projectors, good lens optics are a bigger concern than if a projector is 4k pixel shift or native. A cheap lens will produce chromatic abberations and blurring as the colours diverge in the lens, a more expensive lens will have less chromatic abberation.

Here's a fun fact btw, your local cinema is likely only running at 2048x1080. I only know of 2 cinema's in Brisbane who have a 4k projectors in their cinemas. The only movie I've even seen have 4k sessions was the new Avatar movie.