The figure below comes from the 2016 NSF Science and Engineering Indicators, and it shows long-term trends in public trust in various US institutions. Clearly, there is no long-term trend in trust in science.
Here is the same sort of data for Europe (source here in PDF):
This data comes from Ipsos MORI, and while the graph won’t win any awards for visualization, it clearly shows that trust in science has increased in the EU, over at least the past decade. For more discussion see this article, titled, Trust in Science and Scientists in Europe is Not Eroding.
It is popular, I know, to complain that public trust in science has decreased and scientists are ignored. The evidence does not support such complaints.
I will follow up with a discussion of the expedient confusion of “impact” with political power. Would-be science advisors confuse the two routinely.