... 4k on a 200" projected image would be equally silly if the distance to the viewer was scaled proportionally.
Talking about resolution requirements related to screen size without taking into account viewer distance makes no sense.
Exactly: the two questions to ask are
- A. how big will home theater screens get?
- B. how close to the screen will people be comfortable sitting?
If
(minimum comfortable seating distance)/(maximum home theater screen height) is about 2.5 or more,
or in other words
(minimum comfortable seating distance) > (maximum home theater screen diagonal)
then current "2K" or 1080p is enough.
And that criterion comes from Sony's 4K propaganda, so I am not being unfair to 4K.
With most modern ceilings 8 or 9 feet high, and the bottom of the screen needing to be about 3 feet or more above the floor to avoid an uncomfortable downward looking view (IMAX makes some people sea-sick for related reasons) I get maximum screen heights of about 5 feet, and so the question is how many people would want their eyes within 12.5 feet of the screen, meaning the front of the sofa within 10 feet, the front of the "popcorn and soda table" within 7 feet ... (Serious questions: I am mostly ignorant of home theater layout ... I do not even own a TV, unless streaming on a computer counts.)