You'd have tk be more specific in what you mean by detail. E.g. if I had an image which in normal sRGB color space would be encoded as a detailed silhouette of #FEFEFE on a background of #FFFFFF then one could argue the most detailed is to do a hard threshold between the two shades to preserve the shape information. Another person may argue it's not detailed if it throws away 100% of the original brightness information so it should eschew the spatial information to let the user know the original image was actually near macimally bright. Another person may argue it should be something between as that's most visually pleasing to them.

Which of these is "more detailed" and how does that hold for every possible source image and its display intent? I think what you'll find is you can define things like "most contrast" or "most spatial detail" or "most accurate brightness" but generic things like "most most detail while preserving brightness" will come out as a judgement call rather than a mathematical criteria everyone will agree is ideal all the time. That doesn't mean such a metric (if well defined) can't be useful, must don't expect it to always be ideal.