Similar close shave at Sydney Airport about 20 years ago (?) when Mystere 20 Falcon with two pilots flying to land Runway 16 in good weather. Co-pilot was PF when at 500 feet, the aircraft pitched up almost vertically. The captain took over and rolled the aircraft hard to get the nose to drop and thus increase speed. The aircraft dived and again pitched up almost vertically with both pilots on the controls. The aircraft waltzed around over the top of the airport alternatively diving and climbing steeply until the aircraft became controllable and a normal approach and landing took place.
The captain described the event on Pprune at the time but I recall his name as Mike but don't recall his user name. I was unable to locate anything in Pprune search function. He died about five years ago in France I believe.