I think my use of the word “native” 1080p camera capture was confusing. Sorry about that. I need one paragraph to unravel the confusion, then another paragraph to actually answer your question.
I was trying to say a full-sensor 4K image downscaled to 1080p with Lanczos would look better than the same 4K sensor trying to fake a 1080p image by skipping every other pixel of the 4K sensor, or by using a low-quality 4K-to-1080p scaler. For people like me with only one 4K mirrorless camera, these hack-job in-camera downsize methods are the only “native” 1080p acquisition options we have. You asked why I needed 4K, and getting around the quality ding of 1080p in-camera fakery is my reason why. I need my image to come from the full surface of the sensor, not from every other pixel.
The logic for why 4K->1080p is better should be pretty straight-forward now in this context. If the 4K sensor is skipping pixels to create a 1080p image, then it is not collecting the same light as the 4K image that uses every pixel. The 1080p version would miss out on contrast changes that happened within the pixel gaps, and that contrast would not be averaged into the pixels that did get sampled. The 1080p version will have harsher edges that suffer from edge roll as a result. Likewise, if the camera attempts its own 4K->1080p scaling but does a low quality job of it to conserve power, the results are, well, low quality.
What I was not comparing was a physical 4K sensor to a physical 1080p sensor. In that case, the same plot of light is collected and the image quality is more comparable. However, there are still three problems here. First, it’s getting harder to find native 1080p sensors anymore, and the ones that exist are generally not going to outshine their modern 4K counterparts. So the 1080p sensor would look worse from the start just by being a worse physical sensor that technology has passed by. Secondly, the 1080p sensor will have a harder time with aliasing at the borders of the photon wells. If a 4K sensor can provide four times as much data to a downscaler, a smart scaler like Lanczos can anticipate and reduce the effects of aliasing, especially if any roll movements happen in the footage. Thirdly, all sensors suffer from some amount of sampling error whether it be from dark current or temperature or substrate chemistry or anything else. When the capture resolution and the output resolution are 1:1 like 1080p, then the error is baked into those pixels and nothing optical can be done about it. But if the input footage has 4x the data of the output resolution, merely averaging four pixels into one helps mitigate the sampling error by producing a color value that’s somewhere in the middle of multiple samples. The colors are visibly more true to life when oversampling gets involved like this. This reason alone would be enough to make me use an oversampling workflow like 4K->1080p.
We also have to keep in mind that a 1080p capture and a 1080p output are 1:1 and only look optimal if the footage doesn’t budge. The moment we rotate or scroll something in post-production, that 1:1 ratio gets busted and harsh aliasing and edge roll will start to happen. By having 4x more data than the output format needs, the aliasing can be mitigated when these kinds of filters and effects are applied. Oversampling provides room to breathe in post-production.
I would love to not skimp on hardware. I’m not advocating old hardware at all. I’m simply developing a workflow that makes the most of what I’ve got. If you quiz your Hollywood post-production colleagues, I’ll bet most are using proxies too for their onlines even if they have the latest hardware. Proxies put much less strain on the network-attached storage systems in post houses. Storage throughput is a big deal when lots of people work in the same facility. And for the guys that acquire in 8K and export in 4K, they are 100% using proxies because there is no quality or cost benefit to editing on native 8K compared to the expense of being able to do it. Proxies are legit workflow. Ancient hardware, meanwhile, is a personal problem of mine.