The ability to see the difference a 4K vs 1080p image on a large TV is not necessarily 5 pt. it depends on the size of TV, how far the person sits away, and how good the individual's eyes are. Google Carlton Bale - he as a chart. So as a blanket statement, this is inaccurate.
4K is now a marketing term that implies other enhancements to TV such as HDR and wider color gamut which are immediately visible from any distance. The term 4K resolution as applied to TVs belies the fact that it is mostly a Trojan Horse for bringing along a host of other features. Most TV commentators such as David Katzmeier of CNET argue convincingly that 4K itself, ie the resolution, is the least important feature of a 4K TV.
Better black levels have little w/4K resolution and more likely the result of OLED panels that LG makes or other advancement to LCD technology.
The comparison of the large screen TV and mobile phones is not a very good one.
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The marketing term "Liquid Retina" is clever and a double entendre. It suggest the LCD is flowing, ie liquid right up to the bezel. It's a stroke of genius. Probably dreamed up by Apple's long time ad agency Chiat Day or someone of that ilk, maybe Don Draper.
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It's really a continuum. "Retina display" has stood the test of time and is as relevant today as it ever was. It has become part of the world's vernacular for describing displays, a convenient way of explaining concepts to the public. The variants of the term, super and liquid, in no way undercut the original concept which is one of the most valuable pieces of intellectual property in the word, more valuable that Coke or Coca Cola.