The article was in reply to an economist article, which does define what "woke" means, at least in the context of the article.
>The term woke was originally used on the left to describe people who are alert to racism. Later it came to encompass those eager to fight any form of prejudice. By that definition, it is obviously a good thing. But Democrats seldom use the word any more, because it has become associated with the most strident activists, who tend to divide the world into victims and oppressors. This outlook elevates group identity over the individual sort and sees unequal outcomes for different groups as proof of systemic discrimination. That logic is then used to justify illiberal means to correct entrenched injustices, such as reverse discrimination and the policing of speech. It is this sort of “woke warrior” that Republicans love to lambast.
>Our analysis subsumes both the advocates and the denigrators of woke thinking, by looking at ideas and actions associated with this sort of activism, for good or for ill. It measures, for example, talk of “diversity, equity and inclusion” (DEI) in the corporate world, regardless of whether it is being invoked as a way to correct the under-representation of women and racial minorities or as an example of pious window-dressing. Some of the yardsticks we use apply only to the more doctrinaire form of woke activism, such as the number of drives to censure academics for views deemed offensive. Others capture only the more positive aspects of the movement, such as polling data on the proportion of Americans who worry about racial injustice. Either way, the results are consistent: America has passed “peak woke”.