I agree with everything @wrecker_vs_dracula@hexbear.net said. However, I also want to add this.

Social theory is more fun for academics than economic theory, but economic theory is actually where most social theory stems from. Even Foucaoult and Weber do not discount the real affect of the material base on the superstructure, but rather attempt to document the changes and reactions within the superstructure, that in turn partially influence the base, but are not driven by it. That being said, the more esoteric, and narrative-driven the claim, the more likely you will be cited and used in undergrad classes (like this particulsr essay!). Nobody wants to be the professor that assigns pricing tables and labor value calculations to the poly-sci students. They'll just cheat anyways.

It is also very clear that the good doctor is engaging in an Western academics conception of Marx, maybe having read one or two books by Marx, maybe a book by Engels, and maybe a compilation by another Western academic or sociologist who specializes in Weber, or maybe even Weber himself. But it is pretty clear she is on the whole unfamiliar with what Marx actually said about things, as Marx himself was not a vulgar materialist or even a materialist determinist, but rather felt that all good political economic analysis has to start at the base, and can only proceed from there, as the economic base is the primary driver that either rewards or punishes individual or cultural ideological shifts.

After-all Marx advocated struggling against the current form of production to create a new one, he clearly believed in the ability for the base to be altered by the superstructure, just that the base has to exist to reward the new superstructure that comes into being or else it will wither and die. You can't just start a utopian commune in capitalism and expect it to remain unaltered by the capitalist mode of production, which will inevitably alter the superstructure to something that can be used by capitalism.