The argument reduces to deciding when complaints about the size and scale of illegal immigration, and why lawmakers have appeared to not take effective action against it, crosses a line into racist conspiracy theory. I don't expect the NYT to be a good judge of that line, nor do they attempt to distinguish it in the article I read. Citizens may think they're doing it for votes, or to help business interests keep the costs of labor low, or a number of other reasons including demographic change. Democrats for the last twenty years were unabashed to declare the Republican Party dead from demographic trends (see: The Emerging Democratic Majority by Judis). Michael Moore stands out for saying "The Census Bureau has already told us that by 2050, white people are going to be the minority, and I'm not sad to say I can't wait for that day to happen." I have trouble squaring Democratic glee at a shifting demographic landscape in America, with calling it racist to suggest Democrats are encouraging it through immigration inaction. Reactionary rhetoric may be racist rhetoric, but it isn't a sufficient condition for it.
I can agree with a lot of the other side-stuff in the article. NYT is not just doing the racist-branding project. Tucker is obviously a ratings hounds and adopting populism to pursue it. The length of his shows and positions and questions show he will adopt any position and many positions at once to get more viewers or stir up press. He'll say whatever about vaccine or Russia or Trump or January 6th to get people to tune into the controversy or get a rise out of critics. We have shock jocks on radio that do the same. I don't listen to Tucker for that reason, or any other opinion commentator on Fox for that matter.