The major problem is that the studies are not nearly long enough. The human body can adapt really well, and these exercises don't really provide any meaningful level of progression (besides just doing them more). As a user of this program continues, they will have to keep adding cycles, and eventually they'll just be doing it an hour every morning.
As a way to trick yourself into the habit of exercise I think that's great. But the concept that 7 minutes a day can really make you healthy is kind of absurd. There is no question it's better than nothing (especially for people who are already significantly overweight), but it's too bad it's not being sold as an intro to exercise program, rather than The Only Thing You Ever Have to Do Ever.