After watching the video, it looks like the “vacuum-sealing” feature isn’t the kind you’d use with an air pump to suck out every molecule of air.
It’s more like a one-way valve on some of the internal compartments, so you can manually squish the clothes and it will push out some of the air. So if TSA rifles through your underwear, you can always just re-squish it at the airport to make it fit.