One challenge to the correspondence view is relativism. Relativism comes in various shapes and sizes, but its salient claim is that the truth of a statement depends on the views of persons or cultures, not on whether statements correspond to objective reality. For a statement to be true simply means that a person or culture to believes it to be true. This view seems to advance tolerance and civility, but it does so at the expense of logic. Flat-earthers, geocentrists, cargo cultists, and phrenologists have been falsified by the facts.
Relativism removes any reason, besides sheer whimsy, for changing one's beliefs.
If my belief makes something true, there is no objective warrant to alter my beliefs in the face of argument or evidence. Such an attitude applied to medicine or science would be deemed ridiculous. Medical doctors have good reason not to bleed their patients, as was commonly done for centuries. Biologists have good reason no longer to believe in the spontaneous generation of insects from mud. Human subjectivity untethered from objective constraints is a shallow and shabby thing.