Would it not be correct to state that "race" is a social construction intended as a stand-in to identify sets of interconnected factors which impact a particular population, such as historical, social, and biological?
Is the issue that the word "race" has too much baggage, or that the very concept of "race" isn't useful? It sounds to me, based on the argument in the article, that the concept has some usefulness, even if it has been misused in such ways to have significant baggage. It is necessarily less precise than defining each variable independently in a matrix.