The Rotrex C type supercharger is designed to be compact and I don’t think the performance is comparable to screws or roots. The C30-94 is the largest trim of their medium series, I am sure they can put something larger in if they want to.
Even a well set up turbo will require some time to spool. There will be lag, just a question of how much.
It’s possible to use VG technology to assure optimum aspect ratio for different engine speeds, or anti-lag, but typical well set up systems don’t have this technology. The use of lightweight rotating components does not eliminate lag, it only reduces inertia…
Additionally, if the goal of the turbo setup is to minimize lag, maximum power would suffer anyways.
IF your definition of a ‘proper turbo setup’ is one with no lag, sure putting a pair of td04’s on an LS1 won’t make jack shit for power, but it for damn sure won’t have any lag…if you want to call that a proper setup that’s your call :retardclap