For those who have wondered over which way to go here is IMO the best comparison between 2 cars ,same model,same motor,same tyres on the same boost pressure on the same dyno tuned by the same tuner on the same day 
Take note of the pic with the boost graphs where it shows the linear ( a steady straight line ) for the supercharged cars boost rise compared with the turbo's cars graphs that show a sudden rise and leveling off as the wastegate vents excess exhaust gasses to prevent over-boost pressure that may damage the motor.
PS the BELT DRIVEN supercharger boost pressure will rise at the same rate on the graph regardless as to whether it is stationary being revved or driven on the road regardless of load on the motor whereas the EXHAUST DRIVEN turbo needs to be driven @ WOT under load to produce the line shown on the graph as the boost rise is governed by the throttle position and the way that the boost pressure increases varies depending on load.
PPS A turbo car being driven on a level road at a steady speed will not be producing any positive pressure but when it encounters a hill without any change in throttle position will start producing positive pressure as the motor comes under load as the car drives up the hill.
Hope that makes things clear for the non technically minded
Take note of the pic with the boost graphs where it shows the linear ( a steady straight line ) for the supercharged cars boost rise compared with the turbo's cars graphs that show a sudden rise and leveling off as the wastegate vents excess exhaust gasses to prevent over-boost pressure that may damage the motor.
PS the BELT DRIVEN supercharger boost pressure will rise at the same rate on the graph regardless as to whether it is stationary being revved or driven on the road regardless of load on the motor whereas the EXHAUST DRIVEN turbo needs to be driven @ WOT under load to produce the line shown on the graph as the boost rise is governed by the throttle position and the way that the boost pressure increases varies depending on load.
PPS A turbo car being driven on a level road at a steady speed will not be producing any positive pressure but when it encounters a hill without any change in throttle position will start producing positive pressure as the motor comes under load as the car drives up the hill.
Hope that makes things clear for the non technically minded
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