This doesn't seem like serious science. They just looked at correlation between biodiversity and a few dozen things.
Of course, for many reasons, we should try not to drive species to extinction. That's not really science; it's just basic moral intuition. People seem embarrassed to admit that their motivations are perfectly reasonable things like "I like living things and we shouldn't kill them off".
"Of course, for many reasons, we should try not to drive species to extinction."
I disagree with your statement that "it's just basic moral intuition." You really think that we shouldn't be trying to extinct the Guinea worm? You might want to do some protesting as humanity is actively on a mission to drive the population of that species to 0.
The more interesting question is why are some species OK for humans to extinct and others are not? What makes humans such great arbiters of these things and why does "morality" only seem to apply when convenient? Who says a Guinea worm has less right to exist then your pet dog? Who decides what is good biodiversity and what is bad biodiversity?
> serious science
It could be argued that some serious science starts with "just looking at correlations", guided by intangible drives like imagination and moral intuition. I wouldn't dismiss it as "not really science", and may even lean toward saying that it's important for the scientific process, or even the development of mathematics, to listen to your moral intuition and follow your nose. It's often driven by asking questions and posing theories.