Although it's unclear exactly which budget tires are being used.
First off, yes, this is a promotional video intended to get you to spend more money on tires. But that doesn't mean the money wouldn't be well spent, or that there's no real difference between premium tires and the cheap stuff. The video will show a demonstration of the handling/stopping differences between identical cars using two different price ranges of tires. We're confident that you can figure out which one performs better.
We never actually find out what the cheapo tires are. We're not sure whether this is to curb backlash from a competitor, or to keep people from realizing how bad Michelin's non-premium products are.