I find it a bit irritating that Saucony's "original" shoes, including this, the regular Jazz sneaker, and the Bullet, are all marketed as "fashion sneakers", "casual sneakers", or "lifestyle shoes", buzzwords that usually mean "not for serious athletic activity". I beg to disagree. I've tried a variety of shoes, including purchasing some, marketed as running shoes, and I'm solidly convinced that, at least for myself, but probably for a lot of other people, more minimal shoes like the Jazz low pro are actually healthier for running.
Barefoot running has become a bit of a fad lately, and a lot of companies are marketing shoes that supposedly emulate running in bare feet. But ironically, I think some of the shoes marketed in association with this fad, are not actually as natural. I've tried on several of Nike's options and been sorely disappointed. The sole is more flexible, but they still have too much support.
One of the big problems that "barefoot running" shoes strive to address is that of heel striking, i.e. when people land on their heels rather than their toes when running. When people naturally run barefoot, they either land evenly on their feet, or usually land with more of their weight placed forward on their toes. Running shoes often have elevated heels, which can make people land on their heels, an unnatural running form that places additional shock and strain on the joints, and can increase the risk of injury.
The low heel on the Saucony Jazz Low Pro is ideal for preventing heel striking--the shoe itself is rather flat on the bottom, lacking the elevated heels of most running shoes and many other casual sneakers.
Theories of barefoot running aside, I just love running in these shoes.
If you want to use these shoes for running, I recommend either the more breathable mesh option, or the vegan ones with a hemp mesh that is equally breathable.