Use mid/high rpm turbo kit from Twin Turbo cars, they have better low rpm response, boost kicks in earlier and gives more peak HP at higher RPM, good for high displacement engine above 6 cylinders. There are many twin turbo cars from Japanese manufacturers, just need to find the perfect match for the destination engine
I always try to find balance between torque, low speed response, and power curve. Some twin turbo cars have immense variation when it comes to turbo kits performances - some have more lag, some more torque down below and some have higher peak HP. Also some do not match at all
loss of power or lethargic response are some of the side effects.
Some supercharger kits also performs a lot better than others, my BRZ supercharger have 10 more HP at higher peak rpm and reach higher peak torque 500rpm earlier than another supercharger kit I tried from different car.