Glass is brittle. It will shatter easily if a "point" force hit it. So a door stopper will cause a "point force" when a swinging glass door hit it and the chance of shattering is great.
If you watch the video carefully, the boy was holding to the long vertical handle bar of the door, pushing and running with it. Therefore, actually it is the handle bar on the other side of the door that hit the wall, not the glass. The glass itself did not hit anything. The impact was transmitted from the handle to the glass at the part where the handle is fastened to the glass. This transmitted force caused the door to shatter. Upon shattering, the glass pieces were held together by the "plastic" lamination (such glass panel is actually made up of 2 or more thin sheets of glass held together by special "plastic" sheet). The shattered glass door becomes flexible, folded and drop down. Glass cannot take point impact force, which is why windscreen can shatter if hit by a small stone. The best way to prevent the shattered glass panel from dropping down is to provide a metal frame around it like the good old glass doors of the past. Otherwise, no frameless door can withstand abuse like what had happened.