Good video, just finished watching it. I have 1300 hours on the A320 series and have had several WTF? moments with the automation but nothing like QF72. Uncommanded go arounds were the biggest problem, they were mostly caused by the non flying pilot forgetting to arm the descent mode on the FMS. Outer Marker or 5 miles out you let the computer take control of the landing speed, but if descent mode isn't armed when you push that button the computer thinks, OK, we're in cruise below 10,000 so I'll give them 250kts. Usually by the time the crew figures out what happened it was too late to salvage the landing.
When our A320's were fairly new we had a crew suddenly go around at LGA. When the tower said "say reason for the go around?" the Captain with his southern drawl said "Well, the jet decided to go around so we decided we'd better go with it".
