The video in the main post of the S13 with apparent "Compressor surge" is not compressor surge. Compressor surge occurs when boost creeps so high and uncontrollably that it can no longer be regulated and released and continues to rise. Not having a BOV doesn't cause any harm and has never been proven to destroy a turbo. Engines don't like it and obviously aren't tuned for it, but it won't hurt. The sound in the video posted is just turbo flutter, the sound of air stalling and hitting the compressor fins at an undesirable, but not damaging, angle.
Compressor surge = bad. very bad. and will immediately kill your engine, but you won't see that on stock parts
Compressor flutter = annoying (as it causes harsh gear shifts) and silly, but not damaging.