The engine surging shown in the model testing ain't the same as what was first discussed in this thread, but it's entertaining just the same. The model testing shown in the first links is with a centrifugal impeller and not an axial flow compressor with blades and vanes. hence the aerodynamic effects of aifoil stall leading to surging are unlikely. The gross surge event seen in the early video might be only a burner stability issue
A prime example of this is the common APU (centrifugal impeller) that will stall often when the surge bleed valve fails closed. These APU's are designed to vent bleed pressure when not in use by the ACM's or during engine start. I have avoided this issue in a crunch befor by advising aircrew to keep the PACK's running until just prior to engine start. Oops chock it down to tribal knowledge.