I don't know where you're from, but here in America if you have a family with a Black dad and a half-Black mom, your family will be considered Black, your kids will be considered Black, and you will be living the Black experience. You seriously think otherwise?
They're all their own shows and have their own feel. But just as an experiment I grabbed the first show off your list.
This is one of Martin's co-creators and lead writers:
And 4 of the top 8 writers credited with the most shows are....
Jane Milmore
Diane Burroughs (is this the same woman? lol)
Joey Guittierez
Billy van Zandt
Of course there are two Black co-creators including Martin in addition to that White co-creator, and the other 4 writers with the most episodes credited are Black. So maybe....even classic Black shows have White employees too?