I imagine there will be the same problems as with Facebook and other large websites, that used their power to promote genocide. If you're in the mood for some horror stories:
https://erinkissane.com/meta-in-myanmar-full-series
When LLM are suddenly everywhere, who's making sure that they are not causing harm? I got the above link from Dan Luu (https://danluu.com/diseconomies-scale/) and if his text there is anything to go by, the large companies producing LLMs will have very little interest in making sure their products are not causing harm.