Idk if this is true or not, but if it's not true it should be imo
way too much 'common knowledge' of science, history, politics in the west (i've never lived outside it so idk what its like outside) is based on what people see on tv/fiction/twitter/etcetc, which is made 1. by people without expertise in the subject 2. by people aiming to entertain (and profit) more than to inform.
This creates extremely distorted views of history. It communicates outright wrong or fabricated information mixed (without distinction) with truths for extra confusion. It communicates idealist ways of thinking about history, as great man theory abounds because of literary requirements for characters and a compelling narrative. And then such media usually portrays knowledge of history as more complete/settled than it actually is, because long descriptions of theories and countertheories make sales plummet
"Falsification of history" (or science, etcetc) isnt a thing I get the impression the cpc wants to support (and frankly i dont support it either, but im just one poster)
"Cultural fight on this front" cultural fights to falsify history in the name of profit-driven consumer-entertainment dont sound like things historical materialists should be engaging in. Falsifying the history we're materially analysing is a recipe for disaster. Frankly the whole idea of a "cultural battle" that can be fought, lost or won reeks of the german ideology Marx was criticising: