Legitimizing yourself by pointing to a heritage is very different from training cadres using a specific political theory that is part of but definitely not all of that heritage (again, it went back to Fourier), especially given we have no specific evidence of that presentation representing broader patterns of instruction, and that presentation itself is not especially Marxist. Meanwhile, we can see in the article that I linked in the first comment that they do give instructions that are completely opposed to the basic ideas of Marxism.