I totally believe that botanical gardens cool the air within them. That's what happens when you have an area full of trees and shade, with denser vegetation than a park.
But I have a hard time believing that they have any significant effect on the city air 5 or 10 blocks away, where the asphalt is baking in the sun.
So I'm not sure what the point of this article is, because it's not like we're going to replace half the blocks in a city with botanical gardens, as nice as that would be.
Meanwhile, the article claims claims planting trees on the street has less effect, but surely is far more important -- because it affects the whole city, rather than a small localized area in and around a botanic garden?
So there seems to be a major flaw in this article, in that it's comparing the cooling effects of various interventions (botanical gardens, street trees, etc.) but without ever specifying how the sizes or densities are being compared.
Honestly, I can't even imagine what a unit of comparison between botanical gardens and street trees would be, since botanical gardens replace streets and buildings, while street trees merely add to them. It's apples and oranges.