Who are these scientists? What exactly do they say? How do we know that what we hear that "scientists say" is not actually what the media wants us to hear? Most people never talk to scientists directly. Everything they hear is through the media. Most people are not stupid and understand that what the media says is not always to be trusted (not necessarily because the media is corrupt or because it intentionally tries to mislead, but simply because the way the media works is that it focuses on the most popular and controversial topics to receive the most views).
TL;DR: The perceived distrust of scientists by the public could well be a distrust of media reporting of most issues in general, not necessarily a lack of belief in the scientific method.