That’s because some of them are. That doesn’t mean that they don’t form a spectrum with other people who are not.
In that case you are incorrect. The Sanof Southern Africa are not especially darker than the Portugese, and not at all darker once you control for sun exposure.
No because there is virtually nothing to test on. We have fragments of Neanderthal DNA from a handful of individual. It is theoretically possible that you have 99% Neanderthal DNA and we would never know it no matter what tests we did.
We can establish that some people do share some genetic material with some Neanderthals. What we can’t say is how much genetic material an average modern population shares with all Neanderthals, which is what you are asking.
We don’t actually know. As you note, there are plenty of pale skinned people living in the tropical in Asia and the Americas, and the San did quite well in Tropical Africa before the Bantu explansion, so climate clearly isn’t the whole answer. In fact skin colour only maps very poorly onto climate.
At its most extreme “White” skin probably presents some evolutionary disadvantage outside of high latitudes, but that doesn’t explain its distribution. It’s probable that white skin evolved just once in North Western Europe, and there has never been any overwhelming migration that enabled it to spread the way that the Bantu expansion allowed the spread of Black skin into Southern Africa.
Some has been done, but not enough to answer your questions.
To give an analogy, imagine that we found a fragment of clay tablet from 10, 000 years ago with a picture of a bull and a word under that picture, and a picture of a cat and a word under that picture. If we compare those words to the words for “bull” and “cat” in a modern language, and “bull” is the same word and “cat” is not the same word, then we can conclude that the modern language has some heritage in the 10, 000 year old language. But we can never say how much commonality it has. For all we know, the languages could be identical with the exception of the word “cat”. Or it could be that the word “bull” is the only similarity that remains. Or it could be anywhere in between. We can never know.
That’s the situation we are in WRT Neanderthal genetics. We have fragments of DNA, and some of those fragments correspond to modern human genetics, and some do not. But we have no idea what 99.99% of Neanderthal DNA was like. For all we know the only similarity between Neanderthals and Europeans is in those sections for which we have Neanderthal material, and everything else is utterly different. And for all we know Zulus might be 99% identical to Neanderthals, with the only difference being in those regions for which we know the Neanderthal DNA doesn’t match. Or vice versa. We just don’t have near enough Neanderthal genetic material to say anything except “there is some commonality” in some individuals.