I understand your argument, but the statement can be read not just as 'blindly follow what you're being told' but also as 'trust that an authority is telling you the truth'. Obviously not all authorities, government or otherwise, are universally honest, but the perception for a lot of people is that none of them are, at any point, ever. The starting point for people is that authority is bad, mmkay, and if they tell you that one thing is bad incorrectly (or even a perfectly correct statement that just doesn't fit in with their world view), then absolutely everything they say is incorrect. Wearing a uniform? You're lying. White coat? Lying. Got a degree? Lying to protect your cushy salary and your research grants. And so on and so on.
It isn't that people should just accept what they are being told, it's that they refuse to accept what they are being told because of who is telling them it regardless of whether the information is correct.