It's not anymore. Surveys show that people nowadays trust businesses more than they trust the governments, in a major shift (https://www.edelman.com/trust/2023/trust-barometer)
We need trust because we want the world around us to be more predictable, to follow rules. We trust corporations because they do a better job at forcing people to follow rules than the government does.
This is not a change brought about with AI, it changed BEFORE it. (And just because an AI speaks humanly, doesnt mean we will trust it, we have evolved very elaborate reflexes of social trust throughout the history of our species)