That's something I can speak to. There's too much variation and no company is going to spend the time and money to individually test and calibrate every set that comes off the production line. Interestingly enough, identical models often have different panels inside of them. Eventually some people figure out which production codes correspond to which panels and go to some lengths to get the best ones. Even so, no two sets calibrate exactly the same although you can often find generic settings that people share online that get you a large portion of the way there. Also you have to calibrate for the viewing environment (brightness and contrast moreso than color). I'm a bit of a purest in setting the most accurate color possible but you'd be surprised how many people just want "bright" and "colorful" at significant expense to the actual quality. Many people find truly accurate color to be flat or bland to their taste. Panels change over time too and I recalibrate once every 12-18 months. It wouldn't surprise me if slight variations in the electrical cause differences as well.
Some higher end computer monitors do go through calibration at the factory.
This is true, although I'm not sure how much of that is out-of-the-box settings vs the stores jacking everything up to look better in the showroom.
Something I just recently learned is that it's theoretically possible for a television to do real-time adjustments to ensure accurate colors but it's computationally prohibitive.
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