To be fair China has their equivalent of the NHTSA with more or less comparable tests. US crash tests are particularly bad and still assume a sedan when everyone drives SUVs/light trucks now. Even mini vans in China are smaller than the majority of American SUVs.

The government subsidy is the bigger reason for why the West generally blocks or heavily tariffs the import of Chinese cars. It's just not fair competition (though there's also an argument of it being a good thing for us to let them subsidize our imports of lithium)