Gas operated semi-autos, like that in the video, use a small fraction of the gas pressure that is generated by the burning of the powder load to cycle the action.
Fractions of a second after the wad/shot cup/shot charge leaves the end of the barrel, the pressure drops off dramatically. So, in order for the gas pressure to provide sufficient energy to cycle the action, this has to take place before the pressure drops.
In fact, the receiver cycles only a split second after the shell ignites. So quickly that the last of the residual powder is still burning. It becomes visible on the last shot because, as dutchhunter said, the bolt remains open.