Yes, but the well is already poisoned. The greatest ambitions of the LLM creators was to lobotomize it and refuse giving answer that are ideologically not conform with communism. So essentially it's like squeezing out a droplet of clean water from a cesspool of toxins. Nobody believes a thoroughly lobotomized LLM can tell the truth, and if it says something resembling it, it must have been manipulated to do so.