Most of the ANC for cars is removing low frequency engine and transmission noise (< 100 Hz, > 3.3m wavelength), and as it is coming from a source is predictable source (rotation of engine components, and the cabin that in a full sized sedan might be 3.5m^3, using a powerful speaker system.
In the video it goes from 68db to 38db, Removing 99% of wide band frequencies, over a larger volume (24m^3 for small bedroom), with a small thin speaker which must have the output qualities of a large Bluetooth speaker would be magic.
So have they invented magic, or did somebody just turn the music down in the video?