Someone once joked that if Kubrick had been asked to fake the moon landings he would have insisted on filming on the moon for maximum realism.
The main problem is probably cost disease; if you tried to recreate any Apollo missions today it would cost you more (adjusted for inflation even) that it originally did.
"Cost disease" generally refers to the phenomenon of things becoming (relatively) more expensive because of the unavoidable human-labor component, but the Apollo missions would be more expensive for other reasons, or other requirements that necessitate human labor where said requirements didn't exist before.
My joke was the cost of faking the moon landing was too high. 100% of GDP from 1960 to 1970. And then the estimated cost for the 'Kubrick Plan B' was too high. So they sent two air force test pilots up with home movie cameras to film each other on the moon.
