Yes, I think it is mostly white people who do not use white as part of the description. I can't say what black people do or do not do because I think I just don't notice. It bothers me when (white) people think it necessary to describe a person as black when no other physical description is given and the color has nothing to do with the subject at hand. If we are giving a physical description, then color is part of it, and white could just as easily be a part of the description as anything else.
That is what is interesting about this thread, that it is so important to know what color Jesus's skin was. And yes, it is important to people who have what is probably the same color skin and have been treated badly because of it. And it's important to those who have treated different people differently because of the color of their skin. It is very important.
In a writing class (all white people) many years ago, the teacher told the whole class that our failure to note the color of skin of white people we described was evidence of racism on our parts. I didn't agree with the teacher then, but I have been very conscious of doing or not doing it.