Looking closely at the video it appears to me that they are running the studded vs non-studded simultaneously, which means the non-studded tires have the advantage of running on ice that has been textured by the studded tires.
On frozen lakes we run full race cars and street cars in different races. The full race cars have very aggressive purpose-built race-studded tires than chew the ice up and give it texture. When the street cars run (separately after the race cars) there is a mix of cars with non-studded and street-studded tires. At the start the non-studded can keep up and can even outperform the street-studded on the textured ice. But as the corners get polished by cars sliding in and spinning on exit the non-studded lose parity in a hurry.
I say the only advantage of studded tires is on smooth/polished ice. So the question is, where, when, and how often will drivers encounter smooth/polished ice [in central NY]?
One case is in an ice storm, but they are quite rare, and you're simply not going to make speed with or without studs. If it's so bad that the salting can't keep up the best strategy is creep along trying not to get run into, or just stay off the road.
The other case is high traffic intersections where snow gets packed and polished into ice by all the cars skidding to a stop and spinning away when the light changes.
Since studded tires are noisy, and they suck on dry pavement, and they suck on wet pavement, and they suck in slush, and they suck on salt-slime, all-in-all, having run studded and non-studded for many years, I say [in central NY] you're better off without studs unless you're doing a lot of city driving.
http://cnyira.com/
http://icerace.com/sl.htm