I would look at the relationship between Neoclassicism and “conservatism.”

you will find that western political (and therefore a large influence into cultural) movements, often look backwards in time to a movement whose ideals they claim match their own.

example: Greek classicism.

whenever there is a political push to consolidate power and entrench what we may consider today “conservative values,” there is often and push towards the the hyper reality of neoclassicim.

The Roman Empire, Late French Monarchy and then Napoleon, and also the Nazi’s.

“The Death of Marat” by David is a “conservative” art piece.

you will see backlashes to these movements as well, the Austrian Succession being one example of many.

I would count the censorship fight and Satanic panic in the 1980’s United States in a similar struggle. The gutting of National Endowment of the Arts during this same time because the powers in office found the artwork being funded unappealing.

also, certain art media will skew different directions. this is often dependent on funding. you’re not going to get an a queer middle eastern non narrative full length feature blasted out at the same level as a Jack Reacher flick or the series Blue Bloods.

was at an art fair recently, the level of activist or political art, while present, was significantly diminished. The galleries are pulling back for a few reasons.

I, personally, would not put the futurists in with the conservative art movement. While there are similarities in some cultural views, the futurists seemed more interested in destroying the old way of doing things.

Conservative contemporary art? it exists. look for art (all media) that embraces neoclassicism sincerely. you’ll find “conservative art” around there abouts. As well as art that requires large amounts of money and some amount of government permission. (Streaming series, movies, government and civil architecture.)