Don't use running shoes for tennis.
The thick cushioned "high heel" on running shoes is an invitation for turning your ankle.
Put that together with a lack of medial/lateral support [too much weight for runners] in running shoes and you have the perfect recipe for a sprained ankle.
Is Dr. Grossman, the author of that article, trying to drum up business for himself?
And there is another reason not use to use running shoes. Most have a softer rubber sole and a grip pattern that will very quickly wear down on the courts. As Dr. Grossman's analysis showed [and every tennis player already knew], tennis players are constantly pushing off the inside of their feet, so the wear on the shoes will be uneven, leading to an outside to inside slope on their running shoe's soles.
You will be standing like this, with your ankles turned in:
And when you go to run, there will be a twisting motion not only at your ankle, but above as well, with tendons and muscles subject to abnormal twisting forces, just like those that trouble runners with flat feet and over pronation.
So for those that think they will save money by having just one pair of shoes for both tennis and running, they will have lousy, injury prone shoes for tennis, and all too quickly, lousy shoes for running.
[Now all that being said, I have been wearing Asics running shoes for years, and find the Asics Gel Resolutions to have more of a running shoe cushioned feel than any other tennis shoe I have tried. But in a tennis shoe without a "high heel" and with plenty of medial/lateral support.]