No, you can acknowledge race as a widespread social construct, which having been constructed, has material effects that can only be fully discussed by including race. The idea that we can only discuss categories with an essential characteristic is, itself, an incorrectly essentialist idea.
That is still essentialism with extra steps. Social or not, your category hinges on purportedly durable and universal attributes, whether they arrived from within or without.
> The idea that we can only discuss categories with an essential characteristic is, itself, an incorrectly essentialist idea.
That's a strawman argument I haven't made. I am against conflating pragmatic categories with essentialist categories. There is a difference between using x as an ephemeral demographic category to address the material issues you allude to vs overplaying it to an x'ness as an essentialist identitarian concept.
E.g., some people argue that white people are unfit for certain roles because they haven't endured the sufferings of people of color which is clearly expressing a belief that (1) race is real and (2) race is useful for predicting things about individual white and non-white people. This is racism, race essentialism, etc. But I can also acknowledge that those people are more likely to treat white people (i.e., the people that they put into their "white" category) differently than nonwhite (i.e., the people they put into their "people of color" category). This is not racism or race essentialism or etc.
There is also a distinct notion of “black culture” which is a subset of American culture (people who identify with black culture also tend to be racially black, but not every racially black American identifies with black culture). That there is a “black culture” doesn’t mean that the American notion of race is incorrect.
Acknowledgment of race is inherently an essentialist position; that there is an essence to being a certain race that sets it apart from other races. Doesn't matter if that position casts the purported essence in a positive or negative light, it is bigotry in one way or the other.