Science isn't about popularity or fame. Either the data supports his conclusions or it doesn't.
The paper is written by some of the real heavy-hitters of climate science, so I would take it in some sense as almost a "statement of consensus" about what the new science is telling us. And, as many have been trying to warn, the answer is: it's not good.
What it is talking about is a scientist who has a known track record of advancing his field and being ahead of the curve in creating useful models and predictions.
Since the article is meant for laymen, it is reasonable to use the phrase as a shortcut for the prior definition, unless the title "Scientist who has been right about a lot of important things has more models with relevant results for all of us".