Why doesn't entropy or kolmigorov complexity qualify as a valid metric here? A random process will produce a highly entropic result or something with high kolmo

Why doesn't entropy or kolmigorov complexity qualify as a valid metric here? A random process will produce a highly entropic result or something with high kolmogorov complexity, whereas something biased will produce something with less (like HHHHHHHHH). Edit: saw this other comment ( https://news.ycombinator.com/item?id=31224738 https://news.ycombinator.com/item?id=31224738 ) about how kolmogorov complexity is a bad metric and am now second guessing myself