If science was credible because it's using graphs (or equations, or jargon, or is in a paper, or any other superficial sign of sciencyness), then it doesn't deserve the credibility at all.
I think this is fine. The problem is that people think plots = science = trustworthy.
Just like scientist is not any person wearing a lab coat, scientific opinion is not any opinion presented with plots.
People should know that and we should tell them (and repeat it often).