It does make sense, depending on the application. If you are keeping the stock compression and won't be running much boost, then it doesn't make sense to supercharge because a properly sized turbo will act exactly like a supercharger anyway.
But if you were lowering the compression, and running alot of boost (say 18+), with a twin screw supercharger it does make sense; provided you make a design that can be intercooled. But price, difficulty, and the fact that it has to be custom has made alot of people go turbo because its alot easier. I'm a person who absolutely will not put up with lag, I really hate driving my g/fs WRX even if it is faster because the throttle response is so slow compared to my RS. So I am going to do the lower compression/custom supercharger route. My goal is 20 psi with a STI Shortblock and a hydra.
If you are only going to run low boost or you think supercharging costs too much or is too hard to do, definitely go with the turbo.