With newer turbo designs and proper tuning there is very little lag, you won't notice at all.
Original supercharger designs, "gmc" roots-style blowers used by early drag-racers are actually revamped industrial or diesel blowers.
Also, instant power from a supercharger is a myth as their rated psi is on the top end, therefore just like a turbo the faster it spins the more air it pushes.
You can put together a homemade cheap turbo set-up quite easily with a farm equipment turbo that would make tons of power for less than $1000, the cheapest supercharger, be it roots-style or centrifugal will cost $2500 or more.....ouch!
