If you do find some studies that find some evidence for vitamin supplements doing anything (for generally healthy people), please let me know!
See https://www.youtube.com/watch?v=NmJsCaQTXiE for a quick intro. (Sorry, don't have enough time to find exactly the right video and/or paper.)
However, if I remember right, even for the seemingly clear case of dark skinned people vitamin D supplementation basically has no evidence. But I'd be happy to see any randomised controlled study (or similar) that says otherwise!
There's plenty of observational studies that people with lower than average vitamin D also have various other health problems. But I don't know of any study that shows that vitamin D deficiency helps eg dark skinned people (or any group at all).