I think that's probably true, and I don't know this person so maybe they touch on this too, but breaking down the welfare State that was created to compete with the worker's benefits in Soviet Union (including unions) is very much also part of the neoliberal project.
The neoliberal experiment began in Chile during Pinochet's time but it was only exported throughout the world once Soviet Union collapsed. There was no longer a need in places like the US or Europe to maintain these benefits because USSR was gone, the main competitor who could show another world was possible was disappeared and they didn't need to keep up appearances anymore. In exploited nations neoliberalism also weakens the State itself as an apparatus in case there is a viable Communist movement seeking to overthrow the ruling class through it. Neoliberalism is just that project of the bourgeoisie to fully reclaim the State in the wake of Soviet Union's death. It's not just individualist—kind of a basic liberal reading to me—neoliberalism is, and was since its painful birth in Chile, fully anticommunist.