A super charger has a pulley to regulate how fast it spins and how much boost it will make while a turbo charger will spool and spin full out as long as you have you foot in the gas feeding exhaust pressure to the hot side.
The wastegate on the hot side has has a spring in it and or is hooked up to a manual or electronic boost controller, once that boost psi is obtained the wastegate opens to let exhaust gas exit so you don't overboost.
The blow off valve on the coldside opens to let excess cooled air charge pressure coming from the intercooler go somewhere when you take your foot out of the throttle to combat compressor surge.
The wrap on the wategate pipe won't help with efficiency seeing your exiting pressure but it will help direct the heat out make it look nice and possibll help with rattle/rub.
