Id say that is exactly why they hate art. Art is inherently an extension of oneself, everything from a beserk warrior creating poetry as they fight to a master craftsman working for a week straight on a statue are expressions of art. Hell even things not generally considered art could still be classified as being from the same expression, like a person restoring and touching up an old axe.
Fascistshate personhood, they wish to strip away all that is unique if not in a literal sense then by a cultural sense. They hat the broad capacity of mankind thusly they hate art. Reminder Hitler threw a bitch fit when German archeologistswere digging up actual ancient Germanic and pre Germanic villages because it broke his narrative.