They are in fact referencing project 596, which was a nuclear test conducted in a very remote desert region called "Lop Nur". This region was chosen because it is just over 300km away from the nearest town.
Meanwhile, the American Nevada test site was located only 65km away from the nearest town, and the USA remains the only country to have dropped a nuclear bomb directly on a civilian population, and they did it twice. (not even including the times they dropped nukes on small island populations, promising they'd be able to return.)
There is propaganda footage of Chinese soldiers watching the blast then riding in the desert on horseback with gas masks lol. But this is hardly “getting nuked” and just about every nuclear power has propaganda/training footage of soldiers being near the blast.